{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "\n",
    "sys.path.append('../..')\n",
    "import torchdyn; from torchdyn.models import *; from torchdyn.datasets import *\n",
    "from pytorch_lightning.loggers import WandbLogger"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fc9980f3850>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = ToyDataset()\n",
    "n_samples = 1 << 16\n",
    "n_gaussians = 7\n",
    "\n",
    "X, yn = data.generate(n_samples // n_gaussians, 'spirals', noise=0.4)\n",
    "X = (X - X.mean())/X.std()\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize=(3, 3))\n",
    "plt.scatter(X[:,0], X[:,1], c='orange', alpha=0.3, s=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.utils.data as data\n",
    "device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n",
    "X_train = torch.Tensor(X).to(device)\n",
    "y_train = torch.LongTensor(yn).long().to(device)\n",
    "train = data.TensorDataset(X_train, y_train)\n",
    "trainloader = data.DataLoader(train, batch_size=512, shuffle=True) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from torch.distributions import MultivariateNormal, Uniform, TransformedDistribution, SigmoidTransform, Categorical\n",
    "prior = MultivariateNormal(torch.zeros(2).to(device), torch.eye(2).to(device))\n",
    "\n",
    "f = nn.Sequential(\n",
    "        nn.Linear(2, 32),\n",
    "        nn.Softplus(),\n",
    "        nn.Linear(32, 32),\n",
    "        nn.Softplus(),\n",
    "        nn.Linear(32, 32),\n",
    "        nn.Softplus(),\n",
    "        nn.Linear(32, 32),\n",
    "        nn.Softplus(),\n",
    "        nn.Linear(32, 2)\n",
    "    )\n",
    "\n",
    "# cnf wraps the net as with other energy models\n",
    "noise_dist = MultivariateNormal(torch.zeros(2).to(device), torch.eye(2).to(device))\n",
    "\n",
    "cnf = nn.Sequential(CNF(f, trace_estimator=hutch_trace, noise_dist=noise_dist))\n",
    "\n",
    "nde = NeuralDE(cnf, solver='dopri5', s_span=torch.linspace(0, 1, 2), atol=1e-5, rtol=1e-5, sensitivity='adjoint')\n",
    "\n",
    "model = nn.Sequential(Augmenter(augment_idx=1, augment_dims=1),\n",
    "                      nde).to(device)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Learner"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def cnf_density(model):\n",
    "    cnf[0].trace_estimator = autograd_trace\n",
    "    with torch.no_grad():\n",
    "        npts = 200\n",
    "        side = np.linspace(-2., 2., npts)\n",
    "        xx, yy = np.meshgrid(side, side)\n",
    "        memory= 100\n",
    "\n",
    "        x = np.hstack([xx.reshape(-1, 1), yy.reshape(-1, 1)])\n",
    "        x = torch.from_numpy(x).type(torch.float32).to(device)\n",
    "\n",
    "        z, delta_logp = [], []\n",
    "        inds = torch.arange(0, x.shape[0]).to(torch.int64)\n",
    "        for ii in torch.split(inds, int(memory**2)):\n",
    "            z_full = model(x[ii]).cpu().detach()\n",
    "            z_, delta_logp_ = z_full[:, 1:], z_full[:, 0]\n",
    "            z.append(z_)\n",
    "            delta_logp.append(delta_logp_)\n",
    "\n",
    "        z = torch.cat(z, 0)\n",
    "        delta_logp = torch.cat(delta_logp, 0)\n",
    "\n",
    "        logpz = prior.log_prob(z.cuda()).cpu() # logp(z)\n",
    "        logpx = logpz - delta_logp\n",
    "        px = np.exp(logpx.cpu().numpy()).reshape(npts, npts)\n",
    "        plt.imshow(px, cmap='inferno', vmax=px.mean());\n",
    "        plt.xlabel([])\n",
    "        plt.ylabel([])\n",
    "        cnf[0].trace_estimator = hutch_trace\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Learner(pl.LightningModule):\n",
    "    def __init__(self, model:nn.Module):\n",
    "        super().__init__()\n",
    "        self.model = model\n",
    "        self.lr = 1e-3\n",
    "        \n",
    "    def forward(self, x):\n",
    "        return self.model(x)\n",
    "    \n",
    "    def training_step(self, batch, batch_idx):\n",
    "        # plot logging  \n",
    "        if batch_idx == 0: \n",
    "            cnf_density(self.model)\n",
    "            self.logger.experiment.log({\"chart\": plt})\n",
    "            plt.close()\n",
    "            nde.nfe = 0\n",
    "        \n",
    "        x, _ = batch     \n",
    "        xtrJ = self.model(x)  \n",
    "        logprob = prior.log_prob(xtrJ[:,1:]).to(x) - xtrJ[:,0] \n",
    "        loss = -torch.mean(logprob)\n",
    "        \n",
    "        nfe = nde.nfe\n",
    "        nde.nfe = 0\n",
    "        \n",
    "        metrics = {'loss': loss, 'nfe':nfe}\n",
    "        self.logger.experiment.log(metrics) \n",
    "        return {'loss': loss}   \n",
    "    \n",
    "    def configure_optimizers(self):\n",
    "        return torch.optim.AdamW(self.model.parameters(), lr=self.lr, weight_decay=1e-4)\n",
    "\n",
    "    def train_dataloader(self):\n",
    "        self.loader_l = len(trainloader)\n",
    "        return trainloader"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GPU available: True, used: True\n",
      "TPU available: False, using: 0 TPU cores\n",
      "CUDA_VISIBLE_DEVICES: [0]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "                Logging results to <a href=\"https://wandb.com\" target=\"_blank\">Weights & Biases</a> <a href=\"https://docs.wandb.com/integrations/jupyter.html\" target=\"_blank\">(Documentation)</a>.<br/>\n",
       "                Project page: <a href=\"https://app.wandb.ai/zymrael/torchdyn-toy_ffjord-bench\" target=\"_blank\">https://app.wandb.ai/zymrael/torchdyn-toy_ffjord-bench</a><br/>\n",
       "                Run page: <a href=\"https://app.wandb.ai/zymrael/torchdyn-toy_ffjord-bench/runs/onrwbmnk\" target=\"_blank\">https://app.wandb.ai/zymrael/torchdyn-toy_ffjord-bench/runs/onrwbmnk</a><br/>\n",
       "            "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "  | Name  | Type       | Params\n",
      "-------------------------------------\n",
      "0 | model | Sequential | 3 K   \n",
      "/home/jyp/michael_dev/testenv/lib/python3.7/site-packages/pytorch_lightning/utilities/distributed.py:25: UserWarning: The dataloader, train dataloader, does not have many workers which may be a bottleneck. Consider increasing the value of the `num_workers` argument` (try 20 which is the number of cpus on this machine) in the `DataLoader` init to improve performance.\n",
      "  warnings.warn(*args, **kwargs)\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "da5cdbcc35f84aedbc23aae5a3c584e6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', description='Training', layout=Layout(flex='2'), max…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "logger = WandbLogger(project='torchdyn-toy_ffjord-bench')\n",
    "learn = Learner(model)\n",
    "trainer = pl.Trainer(min_steps=45000, max_steps=45000, gpus=1, logger=logger)\n",
    "trainer.fit(learn);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "sample = prior.sample(torch.Size([1<<15]))\n",
    "# integrating from 1 to 0, 8 steps of rk4\n",
    "model[1].s_span = torch.linspace(1, 0, 2)\n",
    "new_x = model(sample).cpu().detach()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fc951b9ffd0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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+knVeKDajQ3RioPf3RYebzYbvM1jTbrKKUQC9vS3MKM4YsJ2lkgA+7vudHZmd+sxnTiZNGBuTPof+emxM5Ru5nLLZ1aqA3UZDllJJ5RRRaQrFUfJ5lbTQf9u8DqvR5nNAJ8/Q+XlNsMRKbnNT2x5gbKUz29sKjLPZMEi327p0SWQe1arsaz4v656bk99ks0J0TExI33xSIP3qq7LujQ3ZLgOaqHe0j+7FOQfQz2+f3WzKjdMpUeHOnfMNBhn5P3wozGc63a4NTJoGQytXLMqU3LvvirSjUgnLLJ7XODyUTr1eVyaGh1smE2+ZFbcMDUnHT1Li896uPYiBBNAx3/0/nXMvHPe9C9EZP2XU6+331a/9WtgtIy7Z8Cx9e1QHDUu6txde7+6u9J0PHypZEU167rTgvzw0JH12Pi9AMZ0WIN5oyHGvrwuwZCBuk/WSdL1WVjE1Jc9AK7fgGGCB7XotEEeasr0t35ufV1Il6nAStx88g2dmpP+bmdHtWUafREUkeAwQ9vfl+HleLS3J8cC6j48LM3+S9p6dle3Yc5l03n08uzjPADrmu89Pn81UVSfmtVLp916ePY6OpAPvxDB3GjhUKtJpx3UmPtqj1dLMctifKCN23DIyokyVLXrgO+1nGgMJoJ1zV5xzqQ//vuWc+7/5v9NyITrjU4YFM7//++330R/+4fHrsExx3HqTwiYBwuA6J8DOfuc09z7Pm9FRuffX1xUsj49r8SekHeVyuGpgLif7gcbaFhaxxwYQtppnZmBtwt/WlvT9uZzsx+ysbGdmpt1zmnbc2pLvwIpvbHSWt9j9QmP92muqk2bGYG9P2iCb1YEBrxTJyWQEgF+6JM+tQkHa0Tlpw+Vl+f33fM/x5wI/6ajEpZP/twfXZ4/zDKCfyz6bjqRSSXZjeO+988s848kcV/QlaeS9u6uFTtbXz4deedDD6szv3z/5w9SC6XK5vRCAj6eOvgBo59w/cc79nnPu0Dn3n51zf9E595POuZ/88PP/wTn3ux/q6Q6cc2+eZL3nujM+YwBiv/Sl9vvma1872TpImrZ+7idJIkOyMDkpgLJUEnD26FEQfPrTQXDzZhB88pPCmHa6v69dE4C6uCiAEBu4Wk2T8UolBbetljDOSBmGhuTvVEoAZDarSXnj46q1tsc2NyfvT07q51F5xsGBbGd8XPZjZkba6coV2V7UQQQXEkpqk0eEI8flywq6AdvVqs7e0U9avXatpqw14Lpc1gECEhLkMc7JcdsEwVJJ2jaV0mNZXJTPrOVf3PKxjykbTul2y4wn2R76fvr0McgA2vfZkSDLOE7KwFIuny/QSAdIQoa1a4tbbJLgtWua0OYBc/cC5oVp1zidXtxgLpUSbf4Xvyjn9vDQn6NnEH1joLuxnNvOOCZO0gdZAiR6v3zlKye/N+JAz3F+zLb0dT4vM3WnscTM5cL3OhVPSyVNxIM1zWTCjhRWe4wl3M6OfA/bzmxW+onJSfVqBuwiM4PNnp2V9VhNNOutVmUfrXwDiQaFW6KMNPt3eCjfBfgCugHbm5sKsjMZPd+NhgLerS3dr9lZHVyMj8s2YcutsxJthO47nxdmn79p+8VFIchOIrH7qZ+SfSwWw0SGnYXw9ndPF4MMoLu1nLs+m84Pi56kBfZ10MPesHt70jkcZ+lz5450BPgnn1eG/SIEGekf/ah25FevHt+h37kjHTo6dJ98eKbwAHpAw4LaJDDbaIhMwDpVjIwEwQcfxK/ztBZ10X2wmuBcTrZ7//7pLdQgbIaHha3e2JD14bm8tCSAGbkCjOrsrLCg+EFb9pdkva2tsGaZxMBcTj7f3g4XDbGezPx/cKAM8caGFkGx5cKxA0UrnMmEi7rQbgBMnDmsdd7VqwKGSUSPaqKj+8W+4mKC9VxckKho24DtYh/Itp0TIuMkEsfhYfW+5pm7sSEDCXud+L749OEB9DmI/X254Tv5aq6tnZ8bgA5qcfHk8oDJST/FNChhO1ySEd9/P7miY9wCiKjX+3005y48gB6giCblWc1ptEpcq6WV6uyM2uPHJwPEp92fRkNA6PLyya0sh4fDHs737wtx8eiR7PvMjKx3c1N10q+9Jq8wtxQ1gWFFKjIzEy5CEmWY0QXDGtuiTs2mykMaDdU6W3kC4DhqWWc11fv7KhOhCMr8vO6XrT7IObT+z0mJndHBSlSXjXwlmmhtQXetpr7SyEpsyfXtba0ui3MH5+0kTigc/+Skas7Zb8tI+zh5eAA94NEpmW5oSDq2QWdjrVc1XssnYSzn57WQh3fOGPyA3ahWT27HdPv2YF+7AxgeQPcp4kBuFODyvwXSgOuobGNoSCvCRteTZHuXBLQZyD5+LMCoUumcRxJ9nuD7Pjoq4HZ9XRMA9/fDLC72beWyAOMPPlCv6JkZ+R1s896efIbmmdkrAHdcOya18+RkmJEGVFIRcGtL9deAaqzxcjl1vpidle9tbKjGGWDpnCYQ2uIxWN0lgUxLCgHqbRIfbDvMvLUNROeMvhuvcNoa8H7lioL8RkPOMc4onC9btTG6ZDIq67Aa82ZTpS2epDpdeAA9wNFqhcuExi22ExrEQLedzx8vQRkZkQ4on5fXi1gx8XkJGKMo+xVnhXXnjk4L26QoH7HhAXSfIo4NjjozJAHc3d326/7Xfz0ZNMb5DlvPYkAf4JwEM9jguOXqVZFcWfA8O6uyjMlJ1ePWagI6AcLWOxktcKOhyXlzc+p2AeC0kgsAmtUkJ1VtTZKhRKV72PBNTioAHR+XfsQmklupCGBxejrMwrZa+nzKZhX4WjBsQayVoEEcQBpkMirfgA0HjJPYCMDHiaReD7uLwIDPzMj+3L0r37HuI8g8SiUZOH3iE7J9rG07zTqsr+sMAfpwz0CfPjyAHtBoNuUiT6c7FwQZdJs2ypk6F19enOXGDZ3i83qsixNMa+/sBMELLySff5bXXhOw4fXRieEBdJ8iTtecxBxHp/dt4SIWmNS46xymdn1ddbiNhkoSAKy1mgAoJBeZjFSetdu5fDn8v9U/w37CNHOMyByKxfZ+GbYV6zfnlIEmuQ+QDOsbrRpIuwGK4zyXo0VPoueCwUSppP7NllSyM58AbwYmJCva52ejIe2Xyeh+A8oZWCAbYXCBZnpuThP9slmVuXCeuVbm5pQBjrLNScfPuX3zTTnejQ0tyLKxoY4eqZQ4cOTz8jwdG+usdf+RH5FXCtn4/vb04QH0gIYFnnYZHhZWr1odTFkDI+16XfbxJHZ0d+9KcqAHzhc7Dg/lIXDc9TA0FNaO+giFB9A9iJNqkuMswZA7kPj1la+0X+OFQufZlv39MCAjAY0ks3pdgGO0kFYqlZxY9u3fLq+3bmkyYbQUNTNHVAqcmpL9gIWNAluA4uFhOBEQ+7RoEh9g0WqOh4bUas4CuYMDdcyIAuztbRkYLC3JMQOGLUMdN2NgE/Xm5qQd7f7TngwocBYZH1c2ncIopZLsF4MO2g0XEV4B4zD3OJbMzuo1QglzZC+26Eu9rnaBq6tavbBWC9vxwazncuHrIpcLgh/+4fhr4vJlLfLiSYvThwfQAxYA0KSErHR6cEt1Nptq8RNns0fnPjYmzIovA/38BQ9fEmBu3pQleq1cvy6JiRsb+qDwEQTB6fvsvne4nZZB7YyTkveOcywA3M3Oxid9v/iivE5MtLN+UbmClb7hsVyrqUOEc1JKO7qNKANtiYrVVdEsr64KkJubE+A1MaGAb3xc+upiUf7PZtXyLeqjbCsH8hlaaCRZfAbLCojN5+W7UccMvkdfcfmyJiHaBE00zJub8XKQKOvNZwB4C5CxqyMJEVlDuazFYWChka0wqLEMOyA+nw8PeqJtZP2nqT6YyahkJFo10SYncl3ZJECr2a5WtSCLc3Ie339fr704Ug4vbtbp42ThAfQARaulN3TSMog+z9zcSay5HQn7ka6PIAjrKJO0evb9ctlfNx+GB9A9iNNYe0W/22rp9L31Wf6RH1EJxtZWuzQB0A6TOzmpzCyJeDC5aJStbz5SjfFxSc7NZpVpXlwUCdX2tkodVlbkb1sGemJCfoN0kKIlgD6rZbYAGt0zFm5IC+L03Qwyou4WgEqkINzvyBNyOQWplMOOFkOx8pB6XRhqmxzHtgH4OzsCzpkBZV04eth+CDu+rS35/uqq7Ke1nmMfANJPnmg/h94ZNh02nuqLu7vtchY7o4FmuVIJJykCtpGI4LKBVd/MjLQD12OnREPa+Kz3wvMWHkAPSLRa0nHEMbef+YyMggeNicMqiQSWW7eSjfnHxrzOykd7MEVZKok0iU6e6evoDMbDh899sqEH0AMWFsQANg4Pg+Cll/Ta/fjH26fmo/pc+x7s89qaMIow0DCn8/MCkqPSJztTubgoYGliQhjUQkE1vYCliQnpmx88UKYbQBi1krNgLgqc9/bUWs6C26T+3hZGyeeVCbcAECAHYK5WVVdt2xGAjaaYfSUBf2kpLAtBh0w/YwFooyFtxLGPj2spbWQZJEvatqDwCnpnSCUrUSGZkeeglbEgR2FAER1ssK2oNWL02rPlzjmGrS1JMiwUNIn7T/7J+Oe0cyoPjerVvWd0e3gAPQDBTTI2Fn9BF4v93sNwcBPV6/GAnxFuNqslWv3UUHL4Tkmi2VR94XG+pouLYabmOQoPoAcsoizg1avtZbqTvJ4p/kH1OkiJTEafB5AS6GDxW7ZT8ENDIo8bGRFXG6b5FxfDUpKREWGeKxUBStaX2lbRi0uStPvPMUeT4BqNMBMbZZ4taLSSCQp7WO24TUA8OAi3VbSq4vq6AFzLNmPt9+RJGFjiuVyryTMMGQn7Qzvs7ak1nC0Gw75yHHt7qtVGSw1wRt/MIMYmLmJhNzmpDPHoqCYn0mYQDDs7ut+0b9Kzg3PEPnP8uZxcV3fudO5fJyYUqCc5pPg4fWd8EZaB67P39pKnsa9eHTw7NzrPOO2qc0Hw+uvyWqkkl5a9qME055Mnqkd79Ej0h+++KyzA48dyzisVeYAtL0vHubur7NPysmrvvvY1eRA+eiSdv2UWBjGR9GnCMi7HFX9YWFAN5CDNzHQ5PIAesIBN3duT+/7evfB1+l//a/LvKA5imV9A7Z077QTFyIiAm7W1ILh2Td9/4w0Byum0gL5cTvqMXE5Zx1RK14fWmWIoKyvhIiKAM6sXTtJr2+9YZtp6C3Nfow1GnjIzo6DSgjSYaNjgqLwCGQY5N8Wi6oejThaw4lNTYdBvHTRgwAHAHBfrBHxHAT06Z/pjAHi5rIMAm4ho2WVbRKVe18qH1h5ve1v7wXRaj8Na8MUFvtb5vHo+466STocTTb/jO+L713/wD9r7VU/2hMMD6D4GI/JodSrnRPB/7Vpyiddeh2UPHj1KzvQeGZEb9qKDmuh02c6OPPCuXJF2oDBB3PLyy/H2QvPz8ddCVMYwNBTuVJH3vPeeAu3zDKzppN97Tx743/Ztye2xsKDa0OckPIAesLAgLHr//vEfJ//OFtHAy3hyUhlj9M2vvKLri4If5+T6t/7qsNFIIUjYLRZVwrG+Lu+tralThHXXsDINCziDIAxObVKgZeFhYFdXw/IPZBtbWwpWo30VJESlot7UlgVHyoD389iYDCoAilHZw/S09Jfr6+rJDKDkb6QksMPR/t2uzwJgpBylkg4MqG5odd6lktoOWomFXbdl1QHtc3NybAyGaDukJHH2d3aGwFZp3NqSayCVapf/xCWjOhcEP/RDYbmc3YYH06fvjC/CMjB99v5+uw3R3Fz4/34DA24SW6kpusBqFArxbMV5jahOcWdHOqD79wUsZzJy7HEylqQler7j2tI+MM+6pNPqj2pZ60GvWmnD6kmTKhu+/bY4drz77nPj6uIB9IAFgGV/Pwj+xJ/Qa/PBg85T7NYrGTBVrwsIHx1V6cbDh8IwDw2155iMjMi9kctJ35TLKQAvFpUVL5UEkHKP1Ovy3WpVwZiVKAAWbansqKzDyjeiM43R6naAYkp1A+6s/CMq1djclO1Xq5r3ENVhW1lGnFab/WCggq7asssAbqthjiZ0Wt2zHUggk5iYkPVbu79GQ963biQzM2ozxwCHQQqfQ45EpSrRJEUrhYFNT9IqW7kITDcyjlQqWTLzF3MAACAASURBVD7qnMxSvP9+uF2i23tewwPoPkWrJR0DICx60d6+PRhJg42G3PD37ycD6Olp0XANmtTkLEHH8+RJELz1ljzIHjxI7lySWOLjvkM52yh4Hh9vL8NLCdizgvJUSh6qdMx37w5mUmqnQB/dSdYxMiJtUSqdr2M7ZXgAPYDRagXBV78avh6t20IUZJAYZ718ucadE8BcKEhfYN2NbN/CIBlwiA54bU0/r1Q0yds5nRms1XT7Uf9hWE5AaZR5tQNbQHEQKIPNccN6wrJaFxGbqGi3YYursH1s3mxFwGj+Q1wiJ9ZuyGTyeU1u5LkGiK7XVUqzt6fHdngYZqujXtQ2uQ/Aay3+8nlNiDw81MTOfF6Lv1Aoh6IwMMTVqvZh9vj4f3JS7QUtI8y+Uybe2ttF9d5cF2+80fkZMjQkEsNoGzxvEs1oeADdp9jbiy9rTPZ0v8EoNyNTfUkLmc/n9QaiE0CDtrMjIM0msc3MdG4Du8SdU5a1NX2gfe1r+t1CQUu50rmh7WNJ8gU/zYK8xC7Ly9JZv/fe4GuqYV5om7jjsQCj37M3XQoPoHsYJ52mrtfD1+Gv/3rn31tGEODIlL9dz+JiELzzTvJ1DiiyMzTlsg40kXvcuCF9uZUWTE2FXTSs1zDsKBpe5ALRY4ApBlDyP8fDuspl2U/Ydvq57e34YinW5q1WkwFCtRr+fpx9XrSSLe0McGXAANteLKpm3JbALpdVghKXrBzVRwMk5+fDEg48nff21BWEAX65rBpq5C3Vajjpkz7MWuM1m+oQUizKb+w+Ws31/r4y8LQZ+12rqeRobU2lPgDmuGfIb/5m+BqwbP+gPje6GR5A9zjidM/T0/p3qdT/C5HOcHY2uZLg6KjcuOdt9BnVcG1vyzQbHUYnpjcOpNn31tZkquu113QqtNGIl05EO8To/h0eyu8fPZLXJ0+kw3vwQK6d+/eVcfrqV4VBWFmJL95wkoXjT6dlG4NsFce07OXL0umTtGqXT396sAcDTxEeQPcgrHTtOIDQasn1xrX33d99vEbUJpBZGUK1Kvd1VMZhl49+VPqpUkn7iVRKQHQ2q5UFCwUBUcxwbm3pNqemZNaQgfzUVFg/W6vJezDV6Itt2+BycflymDEGzMF8Yhlni4rYEt4US4EdjyYv7u5qAa7ZWa3GRxsgveB8Wca/0VCiYnxcy6Ajf6C/z2SkzWFi796V9kul9Dccf7Mp/W46Lf0PvtiA5FRKC7PY4jEUYNnd1YqFduAAKJ+YkG2PjYW16bWaOoTg5W0HTewj7Pr6ujLbVj6zvy/XiHPyHVxFajUdeCVJ5pwLgt/4jTADDRP/PEo5PIDucRwcdNYSNxr927cgUGlJnKxkfj74Fsg6b7Z01pfz0iX1He6k/bIsLck7xaIw0sWiJF6sr4czp4Ogf8kVVhu3s6MPg3RaHiocz0k11jdvynFWKoMnh7AAJ07CQqUzyu1eoPAAugdhGVCb5BWXQPWv/3X42tvZCa+jE7CAwdvcFJCazwv4qVSk3ykU4vtiHDeo+jc+LgN4korLZXl/bEwLb8D67u8rG3rpkrwuLYWn5wFzrIepf8A+IJR9j/oTB4GsZ2tLjgd5BF7O+EYD6GBjca+YmVFmln3NZsPOHWi1bSXCaN6KLexiwSTtQEEa2Fc7g5jNKgliS51Hi52VStom7DcJkkdH8hnHDfhmW2jSrbMSrDUzAKurQnBQ7AZG3jlh1vN5IVoyGXkWQQxZfbXVptdqOouXTsv+MAPB86NS0dmLOHnHr/5q+B55XpMJPYDucTx5Eq4eZRnMarV/FyHga309efpmbExuPLRV5yEAznTQuVxyqVu7jIyItAHdV5wObtCDY9/bE4nG0JBmX3dytohbXn11cIF0oyHn94tfjN/3cvn8nLMThAfQXYyow4QFZZbdBDzs7oavtbffbh9Ix5WU5nOS0PJ5AUVxUq2REUmUte/xDCmXBVhRcpvPcW6AeY5OtR8eBsEnPiGff+IT8r8F/NZhgvXD4lpZQrRwRzTZECDI7zOZMAMNwGX/o44kVPMrlQQcWmBspRNRIIecxOq563W1GI1a1cG4MoM3PKxV+aJ6ZwY5AMt8PpxIGXUzgTCjomOlIuA5m1XgS9VHZCnlsg46nBMQDSjf3ZX2wT1lfz9cktwOgKK67O1txRsLC3q94JYSBOoXzWAiKe/kD//w+H71ojt1eADdo+BB/9pr7Rfipz7Vf1B6cKDJGknLxsb5uBEsC2G1xHHWclHN8spK2Kj+okQ0weT99+Whce+edOJ4ys7OdnYVWVoSH+uNjcFL1Nvait/nL3xBzvPNm/LwPOfhAXQXoxNrHJV/7e9L322vtVqtHSQjh2OKnQXW8v59AXvDwzpwt+A5k1GANzwszPT77wtAXlsTMETBKu7j5WUFv7Wa9IXoma2bBYVGLFvKoBs97+ysPBtGR2Ub1n7NMsnok21SG4wmuTTZrLKs8/OyP+PjWm4aZpty3gBAzolNvrQMNvvD9i3QRoIyPh6WkliXjqEhYaHLZR3ElEoKoK3kxiYewlDbQRNJhRQ9wekELfnkpLTj5KQOcgoFfe7YfmxjQwC6bQckO6WSSicOD6X9Ll0K68iRjrBtZEKUDs/n5XpDqmIdj4aHZUBx546QZy+80N63fu/3du5To8mPFy08gO5RNBrtwISRabXa+/2xQUdnkwiiS7E4WGApKegQL10KZ5/HLa+/rszI2lo4o/x5C/SMjx+3JzBGFzult7Y2ODr4ZjPeR9tKPF55pf+D1aeMvgBo59yXnXP/xTn3Owmfp5xz/7Nz7j86537bOffJk6x30AB0HAMd/RzAVqmEr7N3322Xelj/Y+t0AVCMk/PdvBmWXKGDHhqShMJyWa/zbFb+fvBA7ewA8vW6sozb29K/AcpspT/rkGETAa1bA4B2Y6PdVQNgi98xIJY+hcQ1wCaa59VVLQpCnwMTGgdEAdaAPQuakTcg62AAZJlYW6xkclLBPGAb7+pqVfaHyobMEszOapIiQD5arQ/nDVxRUinZZ+tKQl4M+zw6Gq78t7cn76Nxj0qIjo60YiuDBVtaPDp7wnWGGwiDxL09+d30tLQF+nKuO6uDZrYiTpP/3d+djA08gO7fcmH67KOj8HQJC1WjMG/vddiEkVxOmI7Ll3X/Xn5ZLXYGGTwzAHj4UN0zkgqZ0AEMD0vHEZfI9zzHwYE8NJaXw52l/ZuHNEs2qwkr/W5HEpfW15Pt/cbGznWH3i8A/aecc5/s0BkvOed+5cNO+bZz7usnWe+gAWgiykRbgEQCm72mfuzHwuxy1I+X9wBO9br+PTEhAztLsCTNAtn8hUwmXE3QOQFj5bLcB4ChhQXZ1u6uAkOb6EbVwMND1dxGgSPfmZkJSzCYqcNWbXpa12u3DwsOGAS4jY+rOweFUWCwWSeMLRrpUknaDGbXylcAq3H5KIC5vT2VPCDTCAIFonhkA+j39qQNYN+DQIE5z46tLdUnMyjgb6zzWA/tRmEVO5gBZFt/ZyvF47gA2ZwHmHV7nNbyztoGordmsGGdROp1lYccHqpbyNe+JoD60aMg+Nzn2q/Lv/23k2VKXsLRNwB9MfrsTlZw/ZRFoFGLs167dk3YyEENywRtbR3vPnH7djgZ5jkpunHqiOo26WjtQ7rTUqn0+wgkrJ2Tc2HAMzQkD4pzGn2TcDjnXu7QGVedc2+b//+Dc+7qcescVAAdffBHC2vYPj2blespCprjdNS2Qt/srCxrawJOvvAFXefoaHu/jC43lRJpB57FOGXcvauAFJ3z6qqWCUfKkM/LdD9AFh1ytGgISWWAVLTKUT9hC1CtjAJZgXOqZ7ZFUACY9bq6TDA4oW/me5WKAGcKkSBhAFRPTcmM4+5ucq4Kx7K3p/K+mZl4oDkzI+uD+eW9qKaY80r/gnc3zDZgfX5emeCZGTkv09NabCZa9AW/bBabpAk7z/4wMEnyjLZae1u2HPxhjyfablbHjjY9aXA3NCTXzvPkxjHIADq4CH12s9meAMLotp+yiKMj6XiSSnhubPRnv04SdnovWsY2aalWL/ZIuJvBg6xaVUcSa71olytX9MHe77ZuNuVh9sYb+uBiP+/eDWfGn6MYVAD9L51z/535/yvOudcTvvt559w3nXPffOmll7rWUM8ybF7F1lbYtu7hw3imLU5PjYvDzIy8PnwYnt0ZGpIFoDI2pp9fv66uQXj8kluzsaGSEstMomUul4U9LBQ0ac3KLWxSoLUlI6Esl5Ntk+iHh7VlL23hFOv6AKMKo8l2AXQbG+oywXs2eW92VguSIE0plwUso0tmtimb1f2KSgfqdTl27Fej9oQAz3pd9pGBA/teLst2JibCftNIKpA8jI7qtgHEi4vizsIMAIMoBjHsy5Ur8vn6uhyrLfFNm1j9utWc22sMQG1nTqan1YMaGQvVIPEij864QKTYgdqjR+2lwFneektrWFx09jkITt8Z93o51322nUaLLplMf6UbcTpXOup0uv92enEBkNvclISGkzhJlMteovEso9VS9iLJjhG2jAIx/e5A9/c7M+jnRd//YZx7AG2XQWWgk+LgIHwtpdPJ104cCGEgivzi1VeDbwFn2w+TDHjrlgBXWD/Y5wcPdCYNRnZ9XfYN0Gd1zTMzOkuXyagPcTSJ0PovR+3sYIejlQpJkCS5rVaLB3ybm2FpBGwnADSfV8kgQPzKFQXdFHOBFUXbTAGSfF720+6vfcbSbzH4iII79hWddTqtbbu5KetLpaT9bCEYJDHVqjLLaN6np9tdrVZW2tsbCzurW89mta2thzMA+fJlaRdbUIZZAwZI9brqzxl8MRtgmWerz47KkAjLbO/tJfep9+6FHVYucpGV5wVA26XrfXY0KQ9dLi4XIyPt2dq9imazs1VdsTgY7GE0oqWcP/ax+P13TrTby8uDabt2EYKpxslJOR/FYudZgMnJIPjSl/p3LmDpACtxy8JC/6t/njAGFUAP/nTgM4hmM9x3/tEftX8nTv4xNyf9P7km/J7ZSQDy/Hx734wfr506Zx3IEHBVGBsT0EYi3OFh2I95ZET6xvFxLRSCmwMSA0APrHLUNs4eFyAS67VcTqv9WbC1sSGAL7pftJMt7AFQxX6PhMWlJS2tjSZ7akr13PW6bJvCJ+QXMRCwrhlxEg/2h30ZHtZiVY8fq7XczIwy/FNT0uZjY1oPAFkhSZWpVPjckYNhrQJxAkHycuOGMuBDQ7Ke8XGVSFgZRzar7PfmZrj0+8qK/A75DZ7cVjZii7jkcipjscSTdVSxwL+TPJVBzEWWdZxzAD2YfbYt7hAHVBH79yPirL4A9oPKxDWb8Q4hNpntU59S7dkgHsNFCx5KPAiOK/nO9dVP7Tn7yIA2uty4MXjWfDExqAD6+yMJKd84yToHHUDbXIv9fSllbIFtnEsHkgibnMa0fDYrAGpkJMwqA4ijuRy4QlDcgt/cvCnryOX0c5hQwJYlRJAvjI/rZ2NjMvDFzaFW0+JDsMq1mlYAjHodW5YZf2FAq5WQRNliC9BhOclXoKgHzGuzKQszpuWyAk5kIIDU1VV5zeflb/TNVsdrXTSslR0aYQYSJHfmcqpZtq4jDMozGVlIfrx6VX6PlITjoO8ZGZH9s4mM2Mch6UHLPTcnr0tLyoSjWbYOG0hqvuM75Df4TKfTWpXSngvOjZWNcP1MTKjlnS2MQxvSZvz2yRMF/dHl7l2V2Qx4n3rmOOcAejD77L09uajjWLnl5f5dTJ2AzsbGYF7k0WSwuKVQeH7t5wYl0Dru7IgOzuqN7cLUaD8kQmTZP34s9yH7FHVs2drq/b6dIvoCoJ1z/8Q593vOuUPn3H92zv1F59xPOud+8sPPU865d51z/8k597+eZCow6EVnfILopNWMS6LiOhkdbZ+ePjhQr1+Aji0iMj6ufsMwk5lM2F3j1i15vX1bgC8Aj34QRpplcVHvq3JZQJudXsdSDYYXDXGxGLaEwyt5ZkYBF8C1UNBEOjyNAbBbWwKkcLAAAM/MaLEPQBtVE9kGYNy6k0St9YJAtoFMxSbetVqy7cVF8dPO55XFthX2kJpYnXEmo5UDOcf2uGCyS6VwqfFocS7aHDcRzpOVnViHDwZkzEgA6q0kDiYdBrpYlKVaDbPHjYYcr9Vfs1+FQjgfJUp6IC9i5iGXk3PDb6LadusUsrmpVoRovOP6+1Lp+Gqc5zkGGUCf2z4bL8io1VE22x/dM9MvFjTYfRpEn0ZYm+XlZLnJILPmz3scHooBf9J5u3GjvxIbGLO4ZX198CRMJvrGQHdj6TWAjgPLnbxqrYOB7c9hF63nsP2+dZFAe5rJKMN8754AZWurGQXQJLthJTc7q8lolYowfOh00c0C+rAfg3HGNxpQztT66qp6DU9Pq34a6QbHTGVAkuvy+bCEYnNTtbazs8rMoonG8xhAHcdEw9yj6bXFmpDw5fMKvjmHaJsBbADITEblA4BewKBl6Gdm5JX9x/MaNxJb0AW2HS16JqPJddYaELAM641Egkq+2NjBsiNLofAKAxfYdGZbJybUwaVU0muLZzu6ad53Tme82ffoNQvhNzIiAHxsTI+XZEU7mEG68+ab8loqye/iKhb+6I+2F6O5SM/rQQbQ3Vq62mcfHcnNGLV6+dEf7Z+2uFMS1cTEYIn8GRF3Kury0Y8qW3CRbsaLFq1W5/PonIDsfsweNJvJmeTOSab5gNocegD9FBHnjBEF0HEuBs1mGJS8887JXAYAW4uLck3FzUpaRxueG6Ojcu/AelOyGyCDFG9kRDWui4sCrJEIWJ2sLTB0+7ZaqDF9D3icmgoztQDx9XVZ79ycMJsTE7ItmFcs6WwxDuoc2FlPEvjweKY4SbQS4u6utIGVLSBBgKnmHB0eCohbX5fPZ2ZkQIEvs7XMI9nOtivWfoBWwKPdJp7TMNrr67J/+bwC33JZEwitp3KlIp9xbgGoSaXILUBfX1d9uXNSydgmhAKaq9XwAKVW00RC5BZWl22LScXhg6mpsC2h/U2rped4dVXPb6EguS7R6/trX9PkcwvEL0J4AP0Mw15Y0aVc7s42j9sfhP5xiSlMcQ0CSIC5oaPoVE66Urn49jgXJRoNeWB08um+eVPOe6+BNLrQuOpaQ0M6DT9g4QH0U0Qc6I2+F62yd+WKaFMtYKEcdpwG2r5Potj8vAINW2XwuIV+EPBmWVQSEqtVZWEBddZFA22zBe9ra+HqfDhX8Gqr5cHGbm3pdtD4wiJTDbBWE0nFxoZKASinXSqp0waAE4DLoIb2RlfL8aDdhRG2ZbktAEV2ghYcy0BkL2ioAZQkYM7Oyv6Oj8v+WfcUZgFssRIr04CpZVsrK3K8SGToY0ZHNTnQDlIqFZ1ZgH3f3NRzBkhHJnH7tlYqxIoOJxNr42cdO7AC5BrI55U4a7VU9rO2plIU+3ukO+jtd3e1LDxJl7lcvLsXFR+RwSTdO+cxPIB+hrG/Lxd2FKz2S/PZaLTr5VgePBicC5gRfdwUkAU0y8tys3rW+fwED/FGQz2Zk85xqdSe6d+LfavV4gE+dlWDcp98GB5AdzmYBbP6WXtd3LsXz2QHQbL3s00k+/jHk++Bz3wmPKC7e1eBi7WPYwofxrReF3Bm7yPrswxzzHoXFmQ7S0vq/oAeeHZWnmMwhoBUpuHZB3Sy+Caj/bYFO7BI29yU+x+W1DLSlomlva9c0WQ6y9bCmFerqleGueW3ly7J8SCr4FgzGQXH3PvWAq5eF2CJnMN6SSMhwcXi0SMhBnZ2NAFzZiacUJfNykKZdQZDtCf7y8xGoRD24+b8ZrPaTzGomJyU/QWQ7u3p89OCbsvsl8vaz7GtqJf40VG71IPnczqtg4HJSf2MhEtmG5PIL5zH4u6RpNmcQfeS9gD6GUajEa/XrVR6ewHAPMcJ+2E/BilRKs4ZJI7BH9SbyMfJg844rpOlg+71gDNqO2kHbbmc3EcDZHHnAfQzDCvRsA9qK+toNMLXRdSCLe5vuz40pjgpxPVvVgudTktS4Re/KEBxdzcMfkslWVelosl+aJUXFuT76JRzOS2v/cILwo4Wi/LZyoqAs2JRANDEhDLDMMXREtLR44M0ck40sUgyAPB2AJLJyHrxwc5k1JOY8tnIBGC1kZnYqn9WP8y2YOdJbLt8OewfvbAg7UDCHiw+gxK2hdY4k5F+ampKB9F2IDU2phKQoSHpIyYmVE9NoRdbZtw59b+27Yi85sGDcMVAGHHL5LM+9htWHA/uxUVpY7tvdiaF36+syLGSmMi1iSad7W9uynFAxKXTWoyFc8sA7MmTeAaa5fOf12vI5gkEwekGpIMUHkA/o0iyWgP89TIODsIWb7bT/tKXBkfID5uxthbPlA8NSSfmrekuVsB4WOeB6HL7du8lHc2meIjH7c+NGwPj9OIB9DMMW6LbPqhJ+traCoJ/+A/1Ovj0p9sH8tYPOZqstbensr64QWMmo+CYfvrOHS0KEnU4KBQ0AY78FTS+uZzmhkxPq+cxGmckGvfuye+ZDbp9O5wwNzUVLrZx9aoCVIpjUMHOyiaoJhgtxMEAAk0yUgccPCybvrioPsPWLs0CeJIAKUlNlUL+5zeA8KUlBZpommHBs1m1qbPuGwxAxsfllWqEVHxkkIH8wjmtpDg5qYOWiQn5rFgMP8dsifRKRfYDG9bpaQXJDETYH9qpVBLAuroqx5PLKYit1VR7zswFMwaNhkpcLCgm2ZTvIkHhnHBtUrjFzi7AuoMrqlWdDYku770Xz0J7Bvr8LF3psymjGl1GRnrPpu3vi5VY0jTKIIS1d0paBlSD6uMZBQ/ypGVxsfcDpzinGpZicSA6cg+gn2EkMdCWBbXXwKVL7WxYdMrbllqu1QRY3r4tAOjBA5FlDA0peH74UB2HLNBeWZHvANiqVbWgm5qS6xGfYvTBlKwHEMJoAl6npnQaP51WEFUqhQtk4Ikc1RUvLir4tQwiMo1GQwGs9StO0hLDdu7uCoPtnHxmQbutwgfwHB9X7XJU8wszjhsGmmnKY8/OqpxmeFja8dIlHXAw6ODVDihYJ6AVd5Lx8XBlxoUFOceFQntFxCAIz7oCXjl3aJvRl8/OyrlC3zw8rI4fMOdowpGTsG4GD5OT2hYMsmiDtTXVrHPu5ubk81xOZCoMHBoNlewcHuq1TttxjhmY/bk/196PIlHppVyvW+EB9DOIo6Nk5qpU6t0FQjIA02NxbEe/yofbQDeVpM++ckWTLM7zzeWjcxweCphIug6cE1CBNq9X+/TSS/H7kskMxIDOA+geRavVnjwYBdn8D4BEQ0qyXbms0+okaTmnFQgt0WKT/PCHdk5ADDpfABAuEDCfVtYA+IVxxXt5ZUXA0MqK/BaG0rKsJBXiV2xt277jO8JWbVHtcbRIB/IXe/8CgHkO0Yb7+8oWP36szHrU3g5rPWsPZ0FYdEAU9dAGbFuv7ExGE/8mJwUwR6so2uqD+FvHuW7YRLqlpfaKf1ZHvramzHOtJoMIy4RHGWOkIVSA5ViipcCxL+Q7KysC5JFuZLPyfa5ZBnlcLwygpqflGrGa8KtXdUYFLbf1tZ6dlfUViwr4rb+1c0Hw9/6ensuTaqEHNTyAfgaRxKSurPR22ndvLz4Z6tYttcPp94XZbMY7lczMiD0dJVHP003k4+xhnWI6AenNzd7tE1nlccv6et/lRB5AdzGieuZr1/Tcf+Ur4e/aaWiYVXJLcN9AH4xc4ubN9msKljud1u+l03KtAYRInsZRAwtGJA/4VCM1QAdM8hlgG0Yyk1HJQ7Wq5aj5Xi6nwMb22YuLyoTDAMOS2uIxSDcYBJTL7cDWtjMgFxlInMZ5f1+ODaY7CkqtxMQm6eEjbZMRcQ1BpkD+BcdGCe+ZGQV7SGUYcKCPZv/QMq+syO9xtGg2deAQLbRigaStxsjgw1ZCnJmR7W5saBLj2pqC9L09lW4Wi3oMtvgP54NS3XNzcryrqyo7wdsZoM7gkYECUhaqHKLHRiZkCw6he49e8/ioRxnoQdc8R8MD6KeMVit+KrofbFVSMt7ubm/3o1N0ShgcHx9I1wMfPQimcikIEb0ufuM3eqfdR8e3shIE3/7t7fuzsdHXa9QD6GcYUcbL6plt8uD4eLv1XbRgytSUMqsAtmpVwAeDw09/OnwtRXXRmYy+V63q/TA+rkwtIGl4WBjyUkmrCOLDbGUSgPvFRdHIcmybm1rdj21mMgK+AKgcI4WtAFSwoiS5ra2pLtey0pOTquelXWE4AX7opQGXlYoeS5SlhA23yW7IVwDfAOhoNcNoMZWpKZUj0P4UYnFOtrO2JoMOSmvDUAMwkdNY0Ii9IMATWQVVC7GTm5hQqcj2trRjKiX64VxOJRbIJXABsYVxMhl5n7YliREibWJCXUDeflt/i5SFY5ic1MET11y5LMfPbIWddWg0NDGWypIMbCjkw7ElEYy2tHrcwOo0922/wgPop4yDg/AIjwXLll4EnfmjR/EX6iAZl9sp0ejCVKWP5y/oEA8PpYNPcivAoqvb95YtrRt11hkfl4dqn5w5PIA+QyQ9cOOSmbBCe/11Pecf+Ui8a4CVMdj1QxTcvy+ACIA6NBQEP/Zj8ppKSZ9361ZYNpTJaEXAVEq1tNWqXHO1miYest50Wj16KZaBDAPW9ugoLDWxJalZh2UFKWMOS4rTw+ioFMdYWlJrOnt/UpQFrTQSA6vBhVXFls7qm9H71mpaERF9LQluSBZItuS1XlcWnoRFBg2AWPyqAYmVirC5sPoTEyItGxvTqpDFohZ4WV2VY85k5PzlcrI+WHncNzgOvKaxeqNsNhIM2mN9PZxYXamoDIQZBRL6qELJoI2EPquBHhtToG/ZZwYnSC0mJmQ9WNUxM8H5AM9YbTmDjoUFTUC1ANv6oJfL8bOLDNYYSJ2mIvKgMNUeQD9FwDxcudJ+cfQycfDgephl2AAAIABJREFUQKZfomzGyMjgVOuj4/6xH2vfx7feks5iUIq6PIvg2tje1lK5GMg3m9LJLi4GwQcfKFNlDewvSjucJdDyJw20Rke7f39x/ra22gems7PyurjYl/PkAfQZIqlcdxywbjbDfr6wkTap2Wp349wEmH6nT37hBdm+c2GHgrt3df28l06Hq/xZhhQgNjoqco/ZWQF+gNx6XeUYgDTL4qLNLhaVJaTwCf0PgM+6YczOyvu2mAfraTQEfKHnBSCOjamTBElxbMdax5F8aesWUK2PbQP6AGh7e9IOmYwyp4B3AGAqJcCafS4U5PszM2qll83qeij2QlU/kvuck1wM2Fps62ZnZZ22miJMMKAXMG0Lq1h3FBjbqKwxldJB0muvaWGYiQlto2xW9e9RX2u08BTwyWSkH2ObNqGTiofIWWw5dwA+M8MMMC9fDrub2NkKey9h/Tc6Gh6Q2sW6o5wUQHsG+gL02QcH4dG3XarVZ7ONk8TRUbgsMYzZ0NBgMLrNpnZiPETsMkie1KeNVkt9Wnd3tbAADEYqpedmZUU6wJUVPUdRzXoqJQ/d5WUZWKys6OACLd3zYOvXaiU72zgnVl+9aodoIQ2YP6Zne9yJewB9hkgC0HFxcCAMtD3flImOA+AWOLAd2Mg4zbNl42zyeSolhVToFwBbaJSz2bCMAtBoq+nBJo+OKkAEMNE3WSs851RWMTEhn9EncX9tbcm9uL4eTlKjoIdljwFvJOhhtYe7RD6vpcaj1f4YNFMld3ZWiCHAKsBzb08BMPsKmw9gZz+j1rK4d2ARiBMKTDLbQYONPaCV1cCuwwaTTAd4Rv8+NCTAmIIu6+vK/mOTyGCiXldZhr1mXntNrwd8qSsVvS6oamgHOlyjzDAgDUFbDRC22nicPZj9IKkQWY0tusIzyBJDJFteuqSAuNWS73AMcTaOqZR+dxAA8WnDA+iniFZLp3gArNzQGxvPZhsn2QeSD+zybd8mgG4QLsgkNpGb9TyBQTqQSkW077bAAZnzncqQxy1xSRbRJZ1WJgMAyRTneex4ThKtVnsxoKicohfyJB6I1iUBkNIHq0UPoM8Qp3lAt1rtsw6d7jOmk3FMmJvTQTMSjbi+L67o1sKC+v2ur6sncKmkcomVlbDVHaDPak8rFZUY8J71NUbyANMcHSRms1rpDmDlnDLaJJhRGAUgT5IeQL5YVL/i6WnZn9FRWTcDDphb2E7rX2y9sHHfQObhnPTB1tGkVgsnNebzCrTv3lUQCgBmPeTfYPUHEKeCH/f77q6sn3VYttYOpI6OVHZBO8OOM3PBsbCQNFqpyH6R2FgoyEAkm5V9WF6W9gLcs6/4c1sJzpUrcg4s286AaWpK/qePXVzUUuz8ZmJC94+BEomNkAdWl29t8/BAT6XEonB6Wp5b0WsefTcJl+cpPIB+injyJF6+8eabvXHfsKbytjMeGpIOqt8Be/H22+1txCBjkIEfndDRkSaVLS+3A6mzLHbKtpP7RBRER+2v3nhDfo+P60WLw8P4iprOCXvHg7jb0WppUo8FQSMjArZ6eB17AN3F4J7/5CfD910nrSWDaq7TT3xC7+uxsfZ71jkB1bbPTqdF2kHpaRLiLIPK+vGGRk97964AnXJZdaiQKtY/2BZa2d1VyUOjIeDFFrSC3ACcA2TLZWUgYZUBT2++KfcjVezGxgSkwdRi6eec/A4WFokAOmkIBVwu8EimpLklLWDqFxfV53l+XsE37US5bGQZxaLsJ6W7qfaHrIEBCaCUEtZWb41sg/dLJQHMsLHT0/Le/Lyy5qWSzlTu7amUzyYi4rTCuZiYkHax18LGhloisu84W9gZEOQ/Y2PSVqOjYZYd3TiJqCRuWjcPZhVgtJGTIL3hPG5sKCuNswe2hwxA4xyOPvtZ/RtQ3mmwG3XK6SeB5AH0GaPVCssmWF58sXfJRY1GWALw4ovSWVPtp98B8xyXEJbNDoYndVzwQFxbkwdZ3Kg5aSkU9LqIHvcrr0gHZhnqOBbqrMsbb+hD5LyN5DsFco64gcboaO90/lRUi2v7Hg5YPYA+RZz2AXtwICDI3rvRQVpUthEECiyWlqT/zWTE/cAOtl94Qf9m8GX7gtFRWSgfD+hNpxUs8927d6UPtXIOvImrVdVJ53IqG8PWzCaBIQ2g74JZhl2emlKAjYSC5Em0sOWy/BYgCdC1FQbRQ09OynEDjmF8YV+tDpmiJiTobW0pG3ztmhwf7Pz0tOq+WS/PGee0na2MhGOCGbfVEZElkMNSq4WrDgL663X1PGaQwzHThswA8KzOZFQ3jda+VFIrOMt68xmguFSS36+t6TGVy9JO2ay048yMOmmMjcUPxKhUiavI+LhcJ3iAP3gg52l3Nyx/sk4mtiQ6MiGSaRmIrK5q39xq6cAq7rmJVaNNEIzev3FFi/qZTOgB9BkC5jfOc/k4tuJZRauVXHd+dbX72z8uWq3kqm5jY4NZJKXVko7g3r3TyzBeflmrUR0eKtOwtSWvm5vyPob7POgaDXng3r4tme2wJrmcvDcyItcUU5hxMx5xy/XrwowyFXreEzQZ1Ny/336s2Fr1Yh+SLJlu3erZoMUD6FNEpwdsHLhutcIJhJlM/DptOWOrC0XTCwub5CaDrOP+fblXh4Z0pm54WMAh7Khz4SQvu4yMSD9rE97wjsbJwkr8Jibk+HZ2dPrfSuxKJQVTOGhwzWcyCmT39jQx/PJlBZ4kxSH/2NnR/Wg0FCxbwArzylQ/7DvaacDq3Fy4kiLA69GjMCsNAOdzkioBmlamQWIjYN/q3G2Zd5vot7Cg+mMGG9msbovEvGxWzqGthlgoqNQGhnZpSdoL+QuFxgC7u7vhwjEAXkuawEbbQi7s596enKNCQYuiMBNBIiTgm3MByEUSg01dsynXO2C+WlW9NG1lq0jaPvHgIFmuSNJolFWO3r/WZtIz0Oe0z6YiVNxI6s6d3pxMqzuyyyuviLSkn3F0FN/Z0wlXq4MF5o6OpDOJWux1YofJnr92TR6GH3zw7G5kOgUexmR1b2/HWxWeBOwPShXKpw0LBrj+r13T6mXdBrGdfMxLpZ6AaA+gTxGdHrBx4LrVCoIvfUnP6cRE+DN0oHj3oh9mCnt3V8BMsaigxt6nts8eGdF+xDmtEMj/JIrhEJHPK0B68EDve5jhalVZZr5vi26srOj2KGxCERISA9fX5VhIlgP00heurgqYmppSBw3s6LCbw0oNYIVXMwwr4JMcDjTbSCCWlsJuGlaSUK8r6xuttpvJ6OwfA4dMRo4dSQoFVEjgs9UbAeu21DTFU/J5acfFRUmUQ9bBtmk7qk0CRvFo3twMl0CHocV3mmRAWwqe5EmYewYAEDDlsl5PEC04uMCsczxo2Wn3lRX5LQMPZg/Gx+Xcsm5cVUolOZ+0FbOB2PtZRjqpH6YQkLVhtMvMTPu9mFRpMun/Z91HHBceQJ8hDg/lwvnoR8MXQCrVu6nc3d14dsNWkOpXYJUUXb7whXCWcD/C3iwwKEkabdtBktiCRAKtVy9YR7vPTKFhj0Tm9kmWe/fOv03e4WF8sRWYeSqzdSuazeSZHx7cXQ4PoGPiLA/BuN8cHIQHzn/0R+HPrC/y1auanAfzaAFwVHL04ovyOj+vuuhCQUiX0VEZwOfzWpQE5nFqKgyO5+f1Grx9WxO6YDlhltEto3+dnNRkNGwgo7Z7JDDCOlsdLXZ5AC0q112+LN8jyQ+GtVyW2TU8qQHZsMmAo6kpZWsB0cgwmEGzel8YYcBYpRKeuWMmkOfQ6Ki8Z9lm6zBCQRU7aKBoCp8jL7FVIRsNwQFoqmHRCwW5higyA6sMSGcgQFvgIAKrengogwiuKxJCseXjfBSLKrUYHQ3r1wG6DF4YwEQLm2SzKoOpVpVp3t2V/X/wQJ9/NvmQ6ztambWT/MIWvtnZaR8A/dzPhZ+pJ3HOOe0M02nXcVx4AH2GSAKI5XJvgEmzGZ/Z3ct96BRf+Ur8vi0s9N8xgoSHajVewx5dsFQaVE2xrXh2/7503N/5ncnHQyeMjVS/r5XTBuwMXszRY4MJ7uZxNZvJg65797repn0B0M65gnPuPzjn/qNzrhzz+Y875/4f59y//XD570+y3mcFoM/yEIxLRmo29f75zu+MLzlttZ57e9qfoMWlHPfIiNrSOZc8U3T7tjKAFEFhMGi1uqmUAOBSSRlHimBgN8bUPgAqn9f9YfCPFRwsK+w5umnL4MLS4uhBkhsV72ArkUNEvZtZ38aGthcg8vBQwXg2G3Z3YN9hd1kPWvB8XoEVfbr1WcZWzlqIkgxnLdnQf6PBTqUUuJOsCQsMa1osKiCFncbhwg7uh4fDHtEMUpwLu1rAvlcq6uTC8xKWenZW9vH2bT0fDA4sk8x7MzN6raIZ3txUED82pgDfOrQwA8HgC1YdhxWeNdWqzjIjvYgWFLJWfRwrswpJ9r+2ciQA2jqLdLqHz9onXGQGuhv99lP32bu78dP7vWKfo7ZwIyOyPw8e9BfocdPMz7e3DdPs/YxmUzqE41wvOLcjI72tKPm0QUfw+LE8NJMe2MPDMgDLZqUTpGLZeThOjvHdd+VYPvKR9uNLp7svV+kk5ejytnsOoJ1zw865/+Sc+5hzLu2c+3fOueuR7/y4c+6d0667Fwx03MM9CMLVBJFJbW2Fk/1scQw7bRwHpGFFo7NCQ0Oybrx2eR8SBM1yvS6/z2YV+JEwZplpEtZKJZVMUAAFMAugtQ42hYIeCzrYalXZWTTAWLPBxPI3zhQAQgBuNqts9OGhulAgcbSFj2CcqV7nnCb+WVA/PS2uJDhe4GiBlZ+tmMg683ndB87p9LQm7SEhofjI/r4eA1X4IKEA1sWibgddNfIM52S7JOOVy1pRsFDQgQLPa1heZBRccxb8ItdJp4Wl3dwUyUi5rLMWt2/LtWJdWayHdy6nco+tLa1g6Jwcr21r9PsA8tde0+uIY6LtSJTF8m9uTrbFuqJsMeeFWRSuG+6ze/fa+861NU2CJ2HQ2v/F3Xtx5b/j5B/diEEG0N3qt5+qz+6USNSLgiCtlk6rRJm3fhckoSJiXNtsbvZnn2BoHz4MVwCLW956S84tyX/nOfGOjrFWi++oogOwfH4wEzuTAm9mwESv78VOUo4uy0j6AaAXnHO/Zv7fcM5tRL7TVwDdKWwymJ1e5gELW2kZXIAfkimy/lkfU/yWBZ2a0qIRtl+2i531undPgAusH+WyAaUk9MGMYgdXLApIf/RIvk9+BPIJQAcuFZSpfuEF1auS2EZREKQYsL8APhhUWEoYS6w9YS03NmSg8Oabsj7kEnwfQMS6SEK0Dg52qh8wu7SkulrYctqMAQsM7sREWF4Dmzs9HS6KYvXhu7vyWqmoLR8A0jlZZzRR9OhIqy+SwEcVRsAmeTUA6tFROXcAUQYnxWI7oYPDComFGxvKXA8PK4t7+bK8ch5wW+FvSoSjFx8bk793d5Vlp/1nZ6V2hHPCfM/NCQnDAKbRUMu9fF7lRI2GJt8zO2GBLQVykG7aUvJRW1C7YH3HgCqpvLw937YaaPSe7VYMOIDuSr/9VH323l47s/fWWyrW73Y0GvEd8yAkiR0etuvCnRPg2i+PYkbNnQAk7MxF9FEOAunIGHR993dLR3r5cvj4h4akkx6U0u8nCVihuPO7s9N9jXqzGU4Cs0u53LXN9gNAf845t23+L0Y73Q874t9zzv22c+5/cc692GF9n3fOfdM5982XXnqpaw1FRJNyLWjmGrHFP1i+93sVONlrCZcEmFNyE958U++luNmfoSEBRouLYQs7WMpcTt02ZmZUKrGyIu9RcnpiIgz0YVStiwPsbjot2yKhje8xTT81pdsD+FHtEKCGUwagmml2yyZXq3r8i4vxpbpJvoeN5DzA3lsf4Z0d1YEDhqL+1tZ5BAkMtnMMBEhk3N+XY0SvjKaYgQSAGuYeZt+6jSCDANBbW0HnpA02N3VAMzurHtzDw6oFp+3zeZ3tvH5d+hIAMOd1bk5B8PKy5uIA1Gk/ZCS2JDk6a9aHDMa6mCB5IcnwE5+QtrcGCbQzv7M6f5h02PnJSW1TZII2sXB7W5MRk/pOBpk4eyQlFjYayubbAVjUqaObMeAA+pn128+sz06qqteLk9VqxSeNjY4OhrNFlBl3TkaxvfLFjkazKazAtWvx58w5SeDpVTJgP8Pqyebmki0GaZNy+XwMKPb325NRGLTxEOrmfZHUH9y82bVralAB9JxzLvPh3z/hnPvNk6y7mwx0UpJgnGzDShJYdnfbLetYx9ycgiMS1ubmZCD+1lsKjADTtmSyLUG9sCDrYIodS0YAv60EaL2HS6WwZ7LVih4dKTOLPMA6eZBIZ9nuqSltk1RKrTNnZlR/m8mI1ebqqjg9Ad5wiZicFAb+0iV1fohW60NGwW/4nHu4VAq3weysJkViAZrJKPNdqUjuB3ZvgP4rV8LFSx4/1kRHvLULBX0/lwsXEmFQBYvNDADn7NIl2Sc8oCmzzvWE5GV6WgHh+HjwrSqGtH82K9cERWcmJ1WfDDOP/p1EVYA1fXlU/845hwwhcZA+/84daUN8x6en1a4QJr1aFWYdvTOlzu0gD+s+5+Q9ri2bgMlgAQYaEM1gNW6g+bnPnazKLtUc7b2ZdN93Ky4AgD51v/1UfXa9rnYxlv3thbNEHPvdy+0nBaPCl15q37cuMnHH7lOS1MYCxX6B+15HVAdarx+vBV9d7f+g7LiAISyX249neLj7pbabzWQnlC7JSAZSwhH5/rBz7g9Osu5uAugkmzruA6bH0Vhaa7KJiXDiYJThZWp6akqlPKVSWNZjJWP0jcyWDA+3a6Jv3xYSgupwgGGAGCQNIHd1Vfad5D8cOMplAe74WTO7ZG3KkHKQFIbM4uhIi3XA0HKsJLTBMs/PK+i2CYgk8THIoE0tAw74Q3rhnFYEBHzB9AMakeFYV4xcTtdfKISLpGxthctUUy48WtEPnTT2bxROQU/snHpn08fg3Wy3BfNMsiDs/uSk7Fu9HpajMBOAbASZCewy1x9ykUJBZRIMDtApU9AGNxIAOdcs2n5qC9AmSCBarfCAanxcATjsPeufmJDjs64fuKNQgMYWySFBFEnk9rYMQNC0x+WTUakyzq4u7p6MPqd6BaIHHEB3pd8+c5+dpHu8dq03QKNSad82LG8/gQ6MTHS/emnrR6B5jiu4MTOjU5owLs9rIH9I8rqem5NOdJAdSGzs7cUfCx13t7cd14Zd8oXuB4Aecc79H865V0wyyo3Id66avz/rnDs4ybp7zUAT9Fl2KrzZ1GsonW4v6BBlomHAZmcFzM7NafIb63jlFb0ebt1SAuTaNSVhrOTDvubzmghGQQxAL4yuZSgBi+vrmhBoHT7QqdpBpT0ugNbEhFaws7IV9gNwvboq+4StHlP97BtT+wwyGKjYMtL5vDzXAJX4Sl+6pMWnKA0N+w7DC4v94IG0JcVO2AbM/fCwMOeAW8B+Oq3+0gBKCpvA5t67p0AT0E8xFLaBdAM9MLNSMOW5XLvftC2NbaVEMPq2Da3rRjQRlAEEyX+Tk8qIUxwFy8GlJR2wLSyo5p22fPBA1mUJARh8ivVQyCadVmcWJECw95yX6WlpOywK7UwN/ti1mlxrUecotN5xBVRYP77Zcfe910B3r98+c5+9vR3/oHz48GzrO20kTbtXKr3ZflIcHcVbwo2N9VaX3WolWwy+8IIyBEmj1uctGMnX62E92uhoEHzf9+n//U5OPUkkSTmck2Srbp7rJGlVl+7NngNo2aZbcs79b06yun/6w/f+J+fcD37498845373w076q865V0+y3tN2xidlluIs6qIuGrYfaLWC4J13wucu6mkbV9SB6XESvqpVuX/sYA6AzD0WnUUcHlYvX/4GgDGLZnXMVoMMS403POWsZ2cFMM3MyP8AcZwhbHllqwsHlCFNsfI2QEytJv3sCy8IuII1Zf9ssRJYUoAv0/qAahLrOB/IapaWwvplqhAyZQ/zjdMITC6gEHs5OzuAJpsBwuio6qxxIoG1R5rAazYb9lHmmLa3dRvM2KFJLhTCCYyAaWYLYGRtkiKWfgD6S5ekLfHBfvQorOe3s6yUw0ZmYdcFyw1AtgmjJKlynMvLApAfPGhPvC8W9frFFhEWnAEGrhu2pDnXCf/Tdp0SCblOOV7rHkMhH5JTo+46XgPdvX77zAB6dzf+RPegeELQbKqNTT+232m/ksBDNts7lrfVkhuYKTeb6EDneJ5cJnodZN7HzSTcvSsdN6zJIAZgJu4eGRrqvh3h4aGWxL10KfxQe8bRFwDdreW0nfFJvV2jWueoiwafWeBmr5l8PhmsW9BJIQxKNscBgqhnv83JQNtqv4dGGj0qfdnYmDyDNjcFgERZuL099SNGplAsKniOJvVFg+MCOJOER79pBx3Nppa2xk4PgAnQmZpSUGVLPAOkKcACqLYsOLZ1SCTs+m0CmZVo2PUBoKIJgFeuCNizEkwkJwxGtrY0n4cS4FGP7kxGtonF4PCwsu9o1xkAWFbaDp6QYsA4M8PMQAqW/8oVfcY+eKCDGp55XD9IcQC3ML84bwD88QGHDc7l5FgePdJBjR08XLki28hmw9dytaoAnlkNe400GuF23tpSy79SSa0Hx8bUq9wu9Xr4fmcWhPayyalRFw6vgR6cPvtbkaSp3dk52/pOE0m+s8Vif0FNEivvXO+kJXQkSQykc9qR+YgPRvhJMqFBGKydJJL2f3i4u7MhBwftSWgMPpjafUbxXAPo0zDQNlEQEBhlXGHMooV5/viPk9dtZQ8AQphhq6+1Lg1vvCEAJE5mBFDhM0qBT0+HGWj8j/FvBqBa+zfAKnpdCpPYUttWIhDHqgNoLQNtrQBZ1+GhADxYVhIJrcMG7DgJYdb9JOqGYn2g8aOmHVk/rC2yC5hWwCMsNW4Z1gUCOQjgmxLfOH1Yph0JRyYj65qeVnY/lwuCl1/W8wcYpJIjOmortYFBxroQzbV1EVlY0PWzHs4RbQHA3dxUlxaAbKWiyZ5cPxYk49RBlUj6p0JBdeZIa8pl3efJSTnPVhZJtUNkkevr7dcTrDoVHtFHw4qj57ZOIXa5fz/s4GFdX/b3w0x8p1nlbgJqD6BPEVxQ0aVUOtv6ThqdEuL6laRH7OzE75dzvZOWWPASvRGHh8+PjncQYm9PGCz7gJiZUdu7QmGw/bHZ/zh/6G46ckTv0WxW2ZeRkWcK3p9rAH2asFO5FtRF2WfYOM7diy92Xi+DTe4DZj82NoTFGxpS/e2NGwJeJiYU5ACYsWLjuoF5thX1oswrTGahoEweAzQ7OABgWnYYYGqn9QGcWI4h44jmiABCLKPL9/FjRiNrC3Rg6wbgISnSVgO0EgYrjXjyJFwYBncOvoeum0ESOmycJWC9YcEtM91oKLCrVLS9AWTMJJRK6hE+NSXfRebhXBC8+qrWDaAN2E8cVFZXww4ZVP2DES4U9Jq4fVu2Yb2zbSXBJ0/UgYXkPCwQ7TPPOdlPBg1Id3AhQcJiAbEtmjI1JW1YKOj1yD7euhX2qE6lpI+jMiXFWqykAoaYvAHL1u/vSxveudPeZ29thX9rEyztupHzxM14P02p7uPCA+gTRqsVD6A/+lG5qLsZjLyuXQtP/3W5YMOJIqmYRKHQO9D65El8afPh4cGw9ztPwQOtk0tHOq2VxQYtWq3ka7LbmvxmM8xAWrbxGerIPYA+YXAtA/J4wNrKgRbs2Wul0zoBNGh3LZOdy+l5t1PhFCsaG9P7an1dtgvAhV3Gio0CF5aJJOkqlVLfZcAPg4G5Obl/KbJhWTvLZuK2QBElK7GIFjexbWnlEQDaRiMMnPb3FagjkQDooGO1QCgIdJZ1ZUX9fUn0hDVH8gDg5TzgT/3mm8rQkpSH3zXtTJtOTmqCJXIHtlmthguG4L3M/c1zGAs6pBGcR36/vCyDJ6pIotlGn8y1UirpgJuByNqa6rtt9UR06iSEokFnX2dmpB2QkNTregwUXRkZkVcrUSGBc3dXNdzsT6mk+IcEU6wCbbVL2HUrLYrmI1hfdcDt1lY86WE9nu0AMVqF0N7PSf2AZ6D72Gfv7YX1PBakdVvnW6/HT/1Vq93d7nHRagnjEgdWeuW+0Wy2JzCOjqrv6fPstPE0AasWNzBxThiffpdmT4qo9i7KaHQzkqRWz3DA4QH0KYNrGVeH6AMXAMy5SqWSH7qw2hSLgNmsVgX4wepZezoYQZuQlU6rBpb9QOMJM2enu2FAAXVbW0IcrK7qd7CnswMFiofYHAAYdLSwFpBEi6xUqzrlb4tjMJCwCY0WwNjy0BZUW5AZrU5HAQ9YXMueW39n5ByAatoFRh3wHAQqMaToDd+n6iAzA/m8/I3jRqOhGm/nNEESpndtTc8nzxpA5eamfg9nD55FzAxkMgrCb9yQhMzFRdWv25nUoSH5/vS0nPuVFWGpHz5Uj2sGNPhWX76s8horbbSl4O/eDZfrXl3VgQk2fDiJAOpx3piZ0UHew4fyu7ffVhvB6ODI3ov2GrW6ZrTktt+cnNTri2vIziYwqOqXMYAH0CeMpAdjLtd9kBYn3xgZ6T8LuL8fr10aGekNcD06Sq5mlE4PbtJgkqelHWn3KgniuGg0krXlV69KRz5oko4kFnp4WB5A3ZwZOTpS5sZu10s4+gegg0DBHtXNopKC6elw/5U07Rv1oIVRBfRhm2bP/8xM8C0g9PLLqlEl6Q0JRaMh4Ab5Aa4aa2ty3WJZhq7ZMnqA8bgyyrCvfI/vWvkJmmE7xU4/amdwYLoB+AC3aIJhtarFWA4PFTjZQQc+xchnAHc2mQ3wRNEVW6Rkfl5dT5BE2Lax4KxaDbet9fDGVo0+Y2FBAT5lwzk/k5MqVQAI4x8NCB4b0+I5U1NC8Dx6pOvAjYPkP37PoAHJCO2wvh62KeS80C8vLMh2CgUwyPoaAAAgAElEQVQF7qWStPvmpgLm69flezDu4+Na2dK6rjQa6vtcq8l+kNBKW6KXtqB3YSE8KOMc1Go6i0JxHAYU9v/19fZZz5df1vuL/SH3wCar9quYigfQJ4xGI2h7IDOK6/ZJiiZGDQ8Pho8xtjvRNnn4sPtt0mqFGYLoUioNBqjjAbW2Jh3czo525lTSymaVNee9sTHVmfWzUiIP6E6VC3O5wRusHB1JW37qU+37281ESFi/6GAON4Rn0EYeQJ8hYF2j1c0oSoIcAtYLIBp3vuLs7WBK0UDHDd7s/1Rxgz3d2FCiZGFBQBSAzlYTpMAF7JvVylrgbCv+AVhtkuvkpDoY0IeTaG2Px7qKRC3drL6c5EVkADY5DkePaPlpWEgYaLa1uCjsOqW10fECzJDj2Ip2hYJa2ZE0Wi6rTR7nGXbalgSHUS2XlTHGeg2WPAh028hcSCosFuV7AFzOta3Uh8yDAQCe1lyT6KcpSMIxNJtaeXJ5WSVC4+Mq8bDb5DWXUz/tclmSWFMpeR9LOzTYd++GK8/iIsJgB8336mq7TV2UwKKcOteGJR65vmg/BmIMppLyvKIzAdGE4Dj2uZu6ZxseQJ8wGo3wtBzLysrp13WaaLXarZG+67vkpu13Fb2otMRWnOp27O9LJ2CT3WxH329teBBoR21H1alUfDVJu9Cmb7yhLMWNG1IMAKaoH8dCZx0FiLBi3e6sThv7+/E67rW17m2z1QonpNlzPTr6TJhoD6CfMiw7BVi4ciV8jXRis5JmkPb2xGXBOa08GCeBunVL+0qA2tCQgKfVVWEySRjb3BQm2k611+vyvXw+XPbaSksAObCFh4cKUG7f1pLcjx+HGcJoWBYXIAdQQvrAflnZQ7msPsHoo/Gjts4Ylhg4OtJiHxaEM2sQ9eM+OlJNMpKTmRkFemzTFiXhdX5ebSdheZ2TV2Q46bR8dnQUZvpZHx7K3NvMEJAYmMsJmZTJiP0cdqqwt1bTncupDpu2pVqf1QYXCrI+Kjzu7uo5uX1bCJpaTRn8pSUdOA0NqV1coRA+Vud0cGMtBrlm3nxT92dtLUycLSwowZLN6jmYn9fj4/piJgJdPrKhfF7lQq+/Hr5fYKdJGj2pA08UVHeDlfYA+oSRJOHottb34CB5Cn1zs7vbPi6STNB3d7u7XayWkpLc+ln4gwfOzo5kaHcCytFlfv5k37t7V309a7XesdM84BgIsD/pdLg4w6CETWSyy/Jyd/e12QyCL34x/tw9A2caD6CfMqKFFnio2/MUZbOihRmiCYoAVga/SDWSZm6QRoyOyrXyxhtybTDtPj8fLiDRaChziWUexSkowY1nMGytLZIBW82zBMZ9aSksaYkCDmv5d/Wqamwp0eyc/L26Kp9RRMUmISIDwzUEdjWuzDrODlRCRYoQlYgcHCirjNsE4A9pR7EofaRlc2HCYV9JyCyXtdz57KyAQvo5BijsE89eQDQl0klC3N5W0Hr3rqx3eVnO9fq62smRcAdJgvzDOVkf54giO6Oj6gfNdUbp93Ra5ClIYq5ckWPACjFJ6siADmmK1YLPz2vSKlUe8Txn0LGyoox9JiMzMDDfVrts7yUGeEiJ0LQzUxJ3zxSL7fesTSK09yXSjugMfTdYaQ+gTxhxdm2zs90HDc1mmMVAt1Qs9p9lTXI72N7u7nY76XL75YtN58yIPW62wi6vv548ALAdJItlCuIGUr2STzSbQfCxj7Xvw+ho/zX50WCgFddmXSqz/a1gijju+nzK8AD6DBEncbAFRTq5cFjnDZtAZ2UUOztyTf3cz4UTEtNpuZeHhgRsLC8L6AFQRa8Pm4iGPpvELoD6zIwAHACTBZNU7gOMYqeIywJyhg8+EOC5s6PMsm0PjtEmIaKVnp4OJ/GxjwDNvb2wPZ4tle2cALsnTxQ8Wbs2EviwXAMIUSSLREkcQwCLVtNuqwOm03KcgGg0s9ZPe3tb2gApB7r0lRUdoDCYwMUCCcn8vJ4L65aCNjt6fhcXZd32s9u3BYwiQUHvPDQkn+GWkc2qfV20UiK+zHZQQb9sPbVZYKDHx9WxhfVYQL+7K4CaWYxqVVlsm/CIrSL7vbioXtQ2X8D6Y6MpJ+kQIG0t+ViQpFgPaFxdLChmoIPGOjrb9KzlkB5AnzDiqu31woEjaRq6F8VbjovHj8MSiuHh3gB7mO8ou7iy0h/w3GrpQ2J0NAg++cn4a2V4WDoXTOeZ3uLh+/ChfFat6jGmUvGaSjq7a9d0mrJXIDrJ+/u11/ovK4rG0VH8NDoP/G5FUtXSL37xqc+TB9AJkcRKBUF8IRDYTABPEoC26+Z1fl4e6DMzAsiQEth79ZVX9O/bt+V74+Nh9nl0VGQfXKMAOvaRBCrYOsvYoanFtg7NMIBye1sTAmdnw4ygLQaD7GJ1Neyve+VK2EXCVtezzGLUF5vcmPHxcDnqalWJj83NsIuHZSatwwLLxIT2+dYJJGqvt7mpoCyTUaDKgATQj0WgrQaIkwY2eWNjYQnHwYH0bzDsthrj0pKeM64z9qFQUMcMpBETE+G+Hbs6Evl2d9VFg9LqyHGwyMMRw7lwsim6cQYRHFMuJ0z02JjOaACgKVFeqSjWYeCGXd7+flieBpCO6q/tdY/bDMw9gxOuR3IAcHqZnIxnoKtVHczZEuhxDLSdrWDmpFsVCz2APmEwBZJOawbu8HD3WbcksHLnTne3e1xYX2wLZLvdJq1Wu8sBmtxeV8njZq3VOldBHB7WjvqkVjt26paM9qT18+Cms+/FcSclfNy8OVhSjrhKmS+9pIOYbkUS8+3cU98fHkAnRBIrFQThJELLJu/vt1eQnJlpX3fU+g2XBqb8k6QaDJqd06n4KOCAzQXMWLYOYJHPK3CAqUUfjfRgZkYBqAXhFkxQztsm5iEbweLPylrQvdZqqsl+8qSdybPFTWgbZBClknz/8mX5vFRSBjrJxQPWGbCFjR++wHzHOhfZAUe1qq4X1nPY+oEzwJicVF0xVn0bG9rnbmzotcUgAtCPU8rubhjQsX/2+8woVCoKFqemBDyT1McgCUnDxkZ4cAS7y/cB05bgs8l6nGNbypzro1pV+Qr7gha7WAzr16lg+OSJSk0YHJBIaT3OR0YEM2EXyECtXlepBsdVrepAYHw8XhpqE1GTSMvoIDcqTYoC5mch6fAA+oTxzjvxHWS39bbWusYu3UyEOkkcHCTLFLqpzW40wpnGMLEwE70MWBOmvBhg8ffly+0erGcJm8Dy8GF72WG7vPFGb3TRzWayhGeQyqZHi5uwpFLd1erv7SVLdJ4yydYD6IQ4aVa+fZBikRYdBEaDqXGm73EOAKBZEG4ZOPqqaLIzHsJxXse4HwCU6ecopgGgBMA7p37GU1Nq8RbVbO/t6T2LxhWAgfUcRVkAtexX1GUjOoNjB4zZrK5/aUnWG+edbVlxOyvAeUEGgnwAMGgrz1n7Mju4sIOGaBvAQNdqwvDyjF1fV6CLa0k6LUCPdTHYsECQ7cWVlrbFZriGAIorK8r6UhiFdiYRDz/noSHZFm1Pkh4JnjiOUFyNxLxyWduOhMNqVdYHG2wHgzD2SGUaDe0/cYlKp/V7PPvW1uT9iQm5tvN50UNTo4GEzXpdB65TU7rPEFC4UEX7TOvgkvRsSbrHO/UXnoHuUZ8d9xB+xv6usfHwYft2R0d7V6gkKVotqVUf3bfbt7vL7NkpJLuUy70Hba1W/Pnh2tjZ6Y4X5e5usqyDpRds/N5eu6PIn//z0qkOUgXIuP10TnxRuzXQQH8dt92n9KL2ALpDdPJvjmOiAGv2/MQVCLIMNADJVgmk4h1aVQvGr1+Xv7lnMxnpN7Brg3Fkij9OXpJOa/GK2Vll7XZ2FNDBYgNMbYEJtgHbil4aHWp0Fs36ZVumGIAKmOceZ/0wkoC82VnVFSMbsJpjywYDrgHusJcMBtBH83tbMdECV0Dy7Ky2hd1PqgCyX4DAcjks87FuGVEZQBQ420qLaHAB9ySa1uvttnOAafZpa0vlF4Ba9rPZ1OsQIA/jnsvJuut1HUgA1kmQ5PwWi/Lbx48VwOPvzL6USloUZW5OZhNSKQXOt29Lu62syCuzwt/2bYpRrM7bSmnIF6I9UilNYGSmIe6ZhmtHp3s5ScLVrfAA+oQR1cg5J1MU3Z4yr9XiL6Z+VyFsNsNSCm7WR4+6u93DQ9Ve2eUZuBucOlqtcHWxkRHVoHWzuAjgLJdLlnZUKvFWPs96Px48iN9+Oj04tnZWbhRdujmDFDfAgu18iu16AN0hjmOVogmBhB2QdvqtfVhvboaZWO7LbLZ9du76ddU5F4sKspFHcG1YX2Cre56d1Sn4jQ0ldDY2wiWyKcsNaKPIhK3ex9Q5JZ55nlQqso9rayrTiJO8AOxs5UHaFQcMZBrWk9oeAwyvTbwDHFvJAeC50ZBjYV3j4wosAbmWKYe5tZrwg4Pw83RhQdlOLOEYjMA2004kO1oAa3XfViJkjwVgz2AAuQNgdmREnTRmZnQwkUqpxR5a7UeP5Jm7u6uFYCiKwqCIhDxcSJxTeUc6Lb8nCZS8HWZWAMybmyoHgrGenhbQnM9LuzHjMjIi6+V952Qbd+4E3xoorK3JvheLeu2hpUdS9OSJgvZKJf4ZbwevttpmdMDcKw/oIDh9Z3wRljP12UdH8Se120A2iT1bX+/udo8Lqy21EoZu71eSJrwX3tM2Wi3VkNkBRK902DBn9Xp8ktxLL2kWezc7kr29eCnPzZv60BmE6JcbR9zA+ykHfB5AP0UkWdLZcxM3q2iBNw9u2FubPGenwZOWmzc1pyaTUf9b7hfbt1Iwy8oseB4sLmolUKsJBvRa6zsYX0AIFm5oXpGkWCA/N6fJdVZ7jMQglwu3FQOMra32gQXAkLYngQ2G2GrX7fECmADOOHTg+ADbyzECxpA9bGyo3/KVKwo4sRhFtgHL7pzK7gCYY2OqQbfHYJ1GrIY9mtT45In6WzsXZoQteMX1goFNsajVCa3MyLK7KyvSLtjlFQoKbh88kH1/7z0lu6pV3f7OjmqQGSTYa8k6wJAEePu2bG9tTa9DisTgD42GeXRUtsW1h5Z6fFzrWHDNWsYcmUj0vuH6YLAUddmIXoeegR6gPrtej+8Ml5dPv67TxNFREHzmM+3b7QfjGt0vpibpdHoBoKODmCtXpKPotaXf/n78Td6P85I0SzE8LExAtdpdqcLubrvGc3i4+04Xp4mjI2VI4jrmbkWSnd3y8pk7eA+gnyLiHq5RCcc777R/HxYYHSY2arZUtCUS7JJOt5Mg6bT2ZViQwZodHWkhEtwe2Gc0zK+9ptpoch5gPAEjgMfZWWUhSQyj3DSsLi4MExPKdlIAhHVZfSmMNkmVDAJI3EN/a/sd6yttqxcC+LE4s7N3NvGPRLqJibCbB64dJOxRmh1nC6QWSB4yGZ1xKJd1/5pNBW8MLkZGFPxFC6Dg9lEq6f4sLuogy5Yo55X2R4ZDyW6rKc7n5ZUqicwarKzIe2trCkZnZ1UX/eabmmToXHiWAi29TUi3FS2t97gdDHKOazX93diYrrtQkHVSXXd8POw5jdUdA0faCVcPBiRcQ8VivOOZc1pF1N4PnWQbvQDSHkCfMJISpt566/TrOk0kMVi9dpyIxsFBPNPSbe3r/8/euwTHleXnnQeZSCQSiWey+Gqpi2TL3VV89ELVVQRYER6pH0UAXEhyqK2uIl6LsXsx40d3F4lMQJuJ2Y1lOazuLiKRwMJbz+zGEbYU01IXiUyAM9EzYYXlhTyWxwsvrIixpy1L3SQeeWfx56/+/3vy3swEiJuZIPNE3CCITNz3Pfc73/n+3/fBB43b7AZI290NA2gApO2QO9VIU5uYCA9qOnWOopwunBN5y/5+cts9Tnv6NFpbd+2aeOIm1Q4O5IWSTocLzVKpE88M9AF0k3aSl2atFr4nslldl2UcfdZrd1dBLAWj6XQQfPe74bTOdFo+HxyU6379utwLdiofUGblCrbIDmYWz2aClGxICkCXaGzY2ZERATLYXdp3yvq6+jbz+d6eEiJLS/J7W0gHELbFlM6p3R3sJSAtym4O0A77iy0gmlu0sjhXUOg2MaHFbOiFYYuRnXD+cKrAreLcOTl31ucY4oX9Q9IyOCiAcHRUJSlYyllpjXWMuHkzrLmuVmVbT56E0xwZcJVK6h+NGwfXlXUSEw54tzZ8MNWPHinzjHQGnTgyD6QTSNlu3gyCn/9ckw7RxHNtuf4rK3IdyF6ggJB339CQuq9wD7Dvg4PhwQXgG9BdrYaLRFdWgs9A99xcY+KtdVOxzivIQHhO+Y61sEuq9QF0m+3x4/DFZHn33eOv6zitGw4C7bR6PXqkmHSBo29x0ynvab/t7YVZpcuXg88GEN1ovAB2dsL7lU5LZ7SwoAUmp92OjrTa2jnpkGF4lpZ6o5iwXlcbKP+enZ9PbrtPn0bPVHz44YlnBfoAuklrp4jQb1HyHtbFSzkqerpWE0CFdpN7K0pyF9VPOif9GWl7+CKje4UhBLha5wqfAadfHBsLO4wA9ADnFy+G2UM0uwAm9gVQituE1Zv6hYWWgUYiYnXdFN9xLq3jSCol4AsWFQcPZq84J4BojpP1MnhnILG9LQAS4Ix/NMVxaJHxVQaMEl8N818sqsaawcnsrAaNIGsh+OTOnXCAh3UpWl7WdQDeMxn9v9WGM0haXJR9wCYPmQf6Yc6NP/CbnNTBR72uAxmuuSW9YKrxu97ZkXU+eSK/w4bOXk97b7/9thIDSJd4BgiHgb1fWpLZUOvywb6hu6ZIcXFREzTt8U1Ohgey1o/dB9E8H/4ze9qtD6DbbFFA1jmZ4kqyxWl+u8F0+i0uyvsU0tZi27Nn2tnbpRsa6I0N6UBgn1Mp6ZSTLNxrZ78smL1+XX9OMvjn4CC8LZaXYFpPvflpcyyPHye3zXpdgjKitnvCQXAfQDdpcUC5WWHR7m6jj7u/rihfWYB3sRh+5qIWCzyyWWECiUO2PsHEZFtgBwAmdMLaeSHXGB1VSzzrRey7jQBAstmwq0GtpsDVOl9ETZfDPvsOF0GgnzHtD7top+uRBqBZnppSYFssivc0IJDZtdFRBb0MWg4OVH8MC88ABJBGzPbmpiYpArYo5Mzn1cWC4rYLF0S3zLGsr+t7J5NRUAsQJTJ7a0u9kgGSeC2vrckzv7Ymxzs3J+8QGOSNjTCjPzGh79iRER3QwGCXy6ptvnlT9mF5We8nGHLcMrCWw1Luk09kcI+OGtCK1G1oSINLrLWcTdrk+HM5Bcc3bwpu4fwsLuo1oeCRwRZAGt26DcDx3yeplBz/yIj8rWWg7b3aZ6B7sM+O8iZ0LnnGMQ6kdtvGLgji5SVJDiriwEg3JC2MoInlHRrSuNVOJgP6bX9fGXH/JZ5kyI0fcONcELz1VnLM93Gbr3VlSVq3b2dqLKsyN3ei1XUFQDvn5pxzf+qc+7fOuVLE51nn3D998fn/7py72s56k9RAR9nVRQ1u0fH7ADpqXfalDLgDfGQy8d7fzqljAQAGQIFFGb7yAAxrh0aR2uKialWDQDXPW1thxwpYQYrc7ADAd4kIAvl8akrAFiym781szwX+wLaIksJKBgCwx1jiEVAyOqrAzJdooIv2QTlBH1tbCsyQqUAK2KAS2NpaTTXQMPg4nMCMWi/te/c0MIbBDpIN5DDEcZMayTFjEwhYTKeVTUWawn5YQMk9k8loKh9yD8tik3pprVxTKf37O3cEuNoiTXv/ra/rOxtAD1C2sqCREVknEeKW+af/AkTfvKl2tqmUzraxntlZBeY4evB+RGo0OSnPRKGgg7i45yjK+SbO+72vgU6m3z5Rnx1Xxb+xkewFigKM6XRvAGhfO8gDlmTMeBS7eu1ad7S2dAD7+9IZMbqmurybzOvOjnTIfuhKkkWOT56EvUItcOh0yE1Uq9eD4Pd+r/GeTbrwMy7W+4QFyB0H0M65tHPuz5xzX3DODTnn/tg5d8P7zn/nnCu/+PlD59w/bWfdSQJon3VuxkLb6fBLl+Jfvv7vYaKnpuTfOFvHK1c0vQ2AwPQ3nsr7+8r+lUphBpr3TyajdSa2cNDqtRmwWX21DzL8c0HhmHVisN7Mvv+uPV9bWyrRADhNTUUz0IWC9JNjY3IcuGX4+2iZb3yDKViEud7ZCZMVaNIBmQSNwMZOTqrrCUV1hYIC1VJJ2VtbV5LL6fUAwI2MhIE70g+Y9ZWVMHDk75kxGB7WePdPPhEg+vHHqrlmUATAtT7fJBkiB6EglO/CyBMdj8dyraZAuFyW/y8vK9BG6w1jTqEogwMrRctmZZsM6pwTrILenO0MDclCQSnXaHJSo8rZ90xGB29RGRPO6eyBlWXYQtNOv3N7GUAn1W+f2MbOVpeyZDLJTYsHgQD0qBupFyQce3vRFmZJ7tvz59LZwOawzeXl7rGcPMDZrHQ2VFfbaNxON6ZSP/44fG3m5pKTmOzthUMkOglS221RLPniYrLXKM6x5dGjE62uGwD6jnPuD8z/15xza953/sA5d+fFz4POuf/XOTfQat2dYqCj/m+bL+85jpesXW+U6wpJqUND0p+XSno/QAjgD8zfkAQHw3p0pLIA5GqW4QVorq2Fbe4AUxcvaiGataMDLNsCP1jngwON5uY7ln3HTs5GjE9NCQicn1dfYUB5oSDAamxMnkP0yfPzKj1hHTDgNrzEhrjAyg8PyznY2VHAiafzyoqCteVlfX+XSnJ8fjJfpRI+J8haIIZghgHDzGxwzUkThF1FIz06qqzp0ZH8PS5FS0vKMhPCwyCrUlHwa5MMccagLysW5b66eVM+T6eVCa9U1N3EOmlQnGj9olmftVYslxUQl8thSQjkCINGbPfW1rS41mICOwuAXMYmLWN7ZyUw/hI3qLWzS82e89NmpXscQCfSb5+oz376NBocDA0lOy0eJ5PodpR3EEhn4AM055KVU6A99rdJ8Uw3mn15wBzYqctu7BcdRVSAyOhoMoO+OAABSO2F9tFHjfuWNEN+eBgEX/lK43ZPONDsBoD+pnNu2/x/yTn3Q+87f+Kc+0Xz/z9zzr0Rs75vO+d+4pz7yZtvvnmik9CsneQleXio1yWXaw98298xG/XsWbQvu7VNI8aYoi+roeVZgX221nlW/xkEypIi6bBa7lu3NMgEwIIEAB03rB3bKZeVFbT2aPhCo8Vm3ygYtOfIOnAwcECfbUEvEc6lUmN0uY20JswET2v0yuiameoHhLMduw+EXWWzwvA/fy7Hz3dWV+VYITwA64DAuTn1Oeb+sAmEhYIW4qHV5nzji2zDtbjO167Je4tzMT6uLDbHDANsA13wwgZ0WgtF6nFIDqRAzzqYDA3JtZ6YkP0dGpLzODamWmt02CQkMkDgMxsGNDcn+726quAeBvr6dbUCHB/XiPLz5+Vf9gPtf6EgMhrn5Lq99174OYrS9/ut2eD3tENWehxAn1q//dJ9dr0uU9T+lLhzyaaZxXn89gKAfvq00fv07beT9R3e24u2z5ue7m7hntUVMuL3XzDd2K8oCVA2m9ysCQxLp1nedlvcFHuSz3CU/KtQiI6MbqOdeQBtlyQY6JO8JH1HA78xo2OfG+sswT1vrelYvvEN9XwGTFmGL5+X31er4WKoS5fk99msfoewlSj/W94VN2/qflWruj9IRWzYii1QRHKwtha2ByNMhaJB7BijSIvDQzkHlgUFaKF1npoKO23AHtrgFGzXOK9ra40piFtbAvZv3ZJ3M4WNaH1zOWXjU6mwd/Tlyyq1gIFeX9fzgsUabDPg3Dl55+GQgq4bT2YbDX7rlg5ArKbcXpOlJb0fmL2E1ed42S7OI3t7cu4HB2Vb5bK+EynAe/xYz8O5c+pKMjQk38GWEPZ5aEit9apVlbXgB24HEmxrbk5Za35XKuk94BONHCv3lU2nxJbPSkp4dux6/NCdqGfcSpv89pox0In02yfus6PYtbt3k7VJiUsi/N73kttmu61ej5a10EklJRNgJGu39+hR9+QSvLCxZUJ3ByPdTWlJVLhDsZjsPkUN+qxmsJstLtI7SVtIgiv8bZ7Q4q8v4WjRXtYLOp9v/FsfQDNoxpINd4hyuRFAW6cEptDR30Y5Htj124I057SQzrpJMGC3QOrePfncAnsby23/Bbha8GbPofV8xvUCsOcDFVvgdu+e9IFW503gCbZ9hGP4U++8a+fmwq4LdtAAULp4UaUVRGLn88LwOicyGesdzTatJ/XaWtgKbXNTWe5Ll9SjeGBA1jU6qgMQBh/I9pBevPGGOosgI7l4Uc81OniKHtFzA3hhnDc3tbiQ64FbBQMervv0dDjaHB1zLif7iX0ezhcM7JB7DAyohpx3GUWEDx+qxOQLX9DtsU4ANPcAsy4UzvI514CwFhJz/b9zrnHGkEGmvW/8dtosc7PW4wC6dyQcQSCjOl/z+/BhsgA6zm/5zp3ktnmcFuVOkk4nKxPY3m58ST140MgQdarRsTPdCJuQzXansMHul+/ikkrJCyXJoss42VEvFBLGuekk6cSxtxddVZ7JnOicdANADzrn/p1z7prTYpSb3nf+excuRvmf21l3J2zsfDeOqBev79DSzEfaSieQHcDkRtmdvvOOAA36rMFBud8WFoLPQCL6UesusLWllm07O8oQEnxBPDRSC6bJSeBjFmxiQiUH1tfayj/Ypi0k9KUZFEtaPavVYAeB9IGARlvEZy3pLlxQYsG6g1BkCBgmiQ/WHfCOJhs3EMta5vNyPmC979xRyR+JjwwksE4D1FrJDH0YGmmcIgCExJ9bdw7fz5l7Y3xc9gsJy/Z2mGSYnVXwzDniWHBhsW4oXCfuh50dIQYyGdXOk/SI3IOQFdIVR0aE/HNOwrf4LnaAVjdtWXDrNAOJhWTp1i3ZDwJrAMKzs3o9GCgyW4u0hOu6uanPRSrVmDy8sdH6Pd8J9w1ajzHt5/gAACAASURBVAPoRPrtE/fZUQVIziVvZRcFSH7v93pjStxP5LMgOimnkKhBxfXrsh/dDJjBhmpkRPV/TAF2S8pRqyk7ceWKnq8kw0PiAHSStQLttjg3nSStF+N0+84pYDpG6ziAlm26e865f/Niiu+3X/zuf3TO/dqLn4edc/+LEzuk/8M594V21tuJIBX7u2ZBK/a6HBzEb8OGe1jXiDj9v10ofqZ/AKRNTAiYOzxUkgAdaqWiGmerU4XFhfWkYBBQwmdIE+zUNmDaekpzbMgOrPMGLDSsJyCN2GzromF1235hIgw0BYJ2/fSd+bzqgtnW06eyT5xHZCbj4/Id3s1LSwLQ5+dl1gfnDmaAkFOkUjrwWFlRgA6QBeCS0AcrjKsGwNbaAq6thQcHVtpnkyZTKRlgzM1J3wzo5DpUq3Ic5bKQdvPz8jMDNtZrrfPGxnSwQQEj756pKbluSFIYyAFOYflhd5k55ZqPjMi2bt3Se9jKKB880JkU5+RcW9356Gg4ZIV7nsGY9fBGDjM4qI5W9vn5lV8JF9aeJCjlNAF2LwPoIKF++8R9dpy1SpLBIUEQD0h6YUrcau86yepVq9HSlps3O59KSIM1YsqM2FMKS7pxveIs1O7fT26bcWCxWymNtj1/3ij/cS75moKoZ+TcuRPFiHcFQCe1dJuBtrIAO0vw3e/Gb8N6LwMOa7Ww5tafIWOxwKNYVC3o8LDOVgEmAcWwgJWK2rRZH2drYeenFtrkOitDgYGuVMJSDp+BZsBhwbKVYwB4mIaH7YT1holFZgGot/vONgkZwVGD/2ODh40bwMqGl6BZRtdsBzjVqpzrpSVZJwMNBhfWnxlpDYVwRGNbIGzZWXueogYkDKxI9OP/APpsVs4X52N7O8ymI0PJZARIX7gQHkxxTGxjfV1TD51TcDoyooWQtmjw3j0dmFD4mE7r9eM8fPBB8BnoRo8Pg42TzNCQsNEA5UJBLPpmZ/V3168L+YWl4/CwWvfh4c3zkc9HS0StlaI/A9KqLwiC05V49DqATmI5cZ8dVRzlXBD88IfJsouPHkVvtxemxINAOoaoiOQbN5ItJrTbtC+/hYXuFxRuburL9MoV2b+kPcOjGlNvdrl06cQFbG21uNTOpANL2mlR58O55G324p7hE8wE9AH0Szb7YrWuCxcuhK9NswbIpZgMf+CoNE67vPeegmjAGc4GWMaheQXITkyozZ3v9AM7C3gDtOLgYAsTWZe1RMOlAf2vDTKx9mCWWbYyFlhjkhUp8gPw++CU9WOrV6koE4/O+N49BcSjo+FIcyQbY2MKKO0+IjNZWdEQFWuphlTGsvpohdEIl8vqV+ycnmPOEX/js9Dsg5UYMOMFG/70qRwbs7a3b4clDPm8ki+WIML2jrRJzhsMOTpt7PhKJTnWalWv3fKyDuwyGZWMVCp6T8IkZzLye6tp5/dIS7AQtPvIv/zextvzjrZSJoA3AxeOa3FRBga+hAPcYx1aiPhuVbcQ9fy/bOsD6GO0w8MgePfdxguadFxxlCdiKtUbU+JBIDeincKxy9JSMiC6XtcHDFN3tjkwIJ91q6gwCKJnDdLpzuuhDw5kis4f4CTpOhE3Y9ILThw7O9He5UlKOIIg2trMuRPFiPcB9Es2qwVGzoAu1l6bZi9apvsBqGh/+duoJFAfaNA/AsBhApF3UDBoQyzW1sK2ebCzgDcKrC2z6hcDwirmcqonRo9KCIrV0bJ+G90NoERXi4OHBYoWnEI+zc8r8HFO9iGf16I53nUrK1qchxwF0G7DmtbWlG23NngEuZRK8mzDduJ6UqmEo9kPDoLg/fd12zZmmoI3JB/oupHmkU65u9uYjsjM08iIupn48sM7d+T3AEocWayji53NhE3G7o6COuusgrQFvTHac6Qu+bzOYhC6lU7LzOTgoCbqMnAjgZH9i6rLmp5WZnlhQZhpIr4ZJJRKAniLRVnyeRl8Wbs/BiZxklmOjWONCy7zn9EkcEgfQB+j1ethhoGR8927zTVzL9uePYu2z+uVcIogkH28di1aVnECnWfbzX/psdy4ET8y7UTjhfH227pP9+93Z1+itJk//GFy2zs6knvTl0pks90rqKRVq9H3S9LBRL4d00tstw+gX7L5kgdkEz7otbHdfrPOFLCq+DTPzal7QFR/6A/cKPaDgSSGu1DQ4kTABm4UUW4a7AtuD8g2bIQ3UghAFADbWsjBEJMqWKsJOFtZ0SAW5GqEpWxsCGCanFTwCODFYSKVUuCDM83wsBa4XbqkYI+BAc4gyCfQzZbLsm9Y2rGf9hgAWkg+iN8mBdFaAsK0vv++AE3OJetCV25jx5FrMAiD1QfUUzhpA1jYH5/Q4N5LpVTOAFhF2sAshZXR+LIkBlacH9xCLl1Srf3qqh5HKqW+yywjI/JdHIuKRVnP3JzsO84ZUYNCe78PDck5RzKDHSA/MxiwqYU8U+Vy9Ky2c3pNuGej4t+DQGdcrIzptFsfQB+jPX0ar20jHSqJFgcSp6eTdQA5TqPz8F8YV6/KiyUp4Ijv8OBg4wOXSmkMaqcbLKzPNnUaQB8eykv60qXw+bl6NdntIuOwRSBXr3ZPn07zXUmck2n1JAfAQaCV5f5yAl14H0Afo8WxyLZ4zTKRPoBulnyGZGB0VMiUYjG6oNpfUqmwxdfYmIaNPHki/z5/HgYJFIoBHmCtSdObmFDmGfAM+GY/KdyDmSOcA+s6e2y2iBHbvIGBsPsE1n1Edjsn+2L3e2JC5RbONRbsER/NZ1YfHQRhgFQo6CBia0u111EJi+iUYdo3N/U8wKxSl8KMBMWWXFsGHDC3aHXt31uXJbaNHRyAjdCaqamwtzXvBorzUim1iQMsc93Yb3TkeFBznX0/cgJ7uP7Wv5sUQJISJyYUHC8uqoPG2poCZ2bt8Pfe3BSAjf45k5E+DunJ4KAWd5bL6lTCQMbGhHP/IImyKYtRi30OuaZRhfp2xqXPQPdAnx1lC/YSL8K2GyAxKkAkSXb3OI3iiKjp8XQ6Wb02vpijo9ESm5mZzjthVKthwDowIMxBpxnYOGeAE0gHjtVgL9DM9cr9GhWkkvT9GQTR/caNGycC7n0AfYzWqmDILzC01yfuhWsBF8wejO7wcLxcx7kg+OpX5V+r/yyVtKgMQEKiHiAIOQcs9+KianadE/BDbPP6ugJjwCcAi+Pkd/TZW1uNAwqCLTY3NTkOXbNNqKPQj+AOG5ACKCLZkAE04AY2d34+vD9olK3ns7WZwyYUQG2LJ1MpPX8AMYJY2MbIiA5I+FveDRa0W1s5zjEseKUS/V5hcECfArDGEaRa1f2an5fBEqyxlWzgTb29rb7UFCM+farFggBt9OcAaBudDZBGM4w1IqAWooNByfKyXn/u3Tt3VKNdLCoYxpoO0iSVCmOVTEbvF3vN2J+pqTDTD9huBaAZmOBG4lvGdsLOrg+gj9lqtWhP16QBSbeA0HHa3l48A5NkeIctdokrYOPBTRIoMSLGSN8H8d2wsovSI9++nTwTHOXEMTfX/RkTgKw/U5Jk/HwQCMCIKojpM9DdYaCjPvMZ6D/8w3gG2tp91WrqiMBgOe7l//bb0hd9/HE43htN6eysevtaJ4tz5wTQUGvCNDt6YLSe9+6pMwGMNBpZq/fGRQJ9aK0WliVwjH6SHq4O1q/ZTqHXauHgE0AtMg5fMmJlK+zH6KgcJ/tjrQKfPhWWHis12EzAcakk52VyUgclhMpYkI1G2pfyAHZxFUE+g1sGjDlFhEg9othr9pdBidWZj42pn7QtLqRfymQ0kpxwGAJOuJ5Em1vNOy4k1uLOasiZWWAGAgBOKmappJ+jZXZO7u39fQX+nFs8v/P58Ow8x3Hzps4A4NDCfWD3BZa4WlWv81YAmkEVgTPWu7xTrQ+gj9n29uSGnZwMX9Rr15IFJYeHmnNvl+vXuw9KaPW6joB/8RfD+9mpJLq4AjaW6enkputrtfgBxMOH3dE/x2l+k2SCDw+VSbNL0m417TQKZvwOemMj2e3GJYqewAKzD6BPqflV+vV62Kp0YEBlD3F/C1hi4Dw2JuD44sXm/ZBNJ8T2EkANW2q9gXd3VQaRTks/R9EYLKjV8SKFsPtvE1ORYwASKWK0LB56Wmv9ZqUDVl5CEZe14LPSEVjora2wJzeAcnRUQRCa3HRaAdfEhF4nWNHBwbBDhw0gsUl+AFvrS21ZemQDsOU4hFi3knxefsdsGpIOwDVgEj9mwDn2fTYoxBbUAWDtdUmnpT/Cfo51WzlHoaBx8KWS+k9z/pF7II+4cEELCdGyA1qtJSFe0QwG02n5mdAW7t/lZfk/g59sVt99fj+Ho4c9r9jwZbMC3LmmWOnhBR2lg6ZZB51OJQ/6rQ+gj9nq9XgrrKQZtp2d6BsqKaeLk7SjI7UjimLbkgZQFG1EsX0sV69KB2V9PE/aML5fXg6Cr39dt0FnwvRYVJVw0u3wUNPKnFPQODiYLBPvWx9ZQNLtIsI4CVbSXu5xAS5/9EfHXlUfQL9Es6xzlM3V0VGYQV5fj+5brYbayjnW18PTz1GyO+eEaR4aUtcCC0BKJQXHfpHbzIyCZ58dPziQ5/38+TBgtAWCe3vqGEIxGprd5WX5js+cMvtZqag+GmAOC2gL2mzRHe4YHI/vAY013fq67M/4uACq+XmNC19aErAFU7u/r8xntRoeZCATmJpqDGoBwG1tyc8MSGDYGUCsrGhCI+8TChfHx+Ua2HASgJ51S7GyhlxOrjMFhjCwSD12dmT7HBeDKFxMCB0hOh2HEMswb27Gu7JMTMh9cemSHLMNvuHesGB9dFSO1XpQO6f36syM7Bcge2FBPuN+XlxULTRgulTS+wZtOgMPn2xZWtLZkXK5EZDbZ9DqvLsxw9sH0CdoccEhziVrD3Z4GC+u77a21LajI9F3WiDJyLRS6cxNfngYP9CxSzarBSbtPoA2fGF7u3mlPT6d3Xi4een6erK5uWT3pVaLPifdYuFti7JfYnCXZKvVwoNfBjPT08deVR9Av0Szmug4ecfnPy9nLZUKgjfeaD7oAzDawr2xsdaBKhY45POaBre4GGZqYYfx+S0UVDJg2WW7H9is8TlaUdhlNNwARRu0gZTBFlYyq0dhmtVTxw1C7NQ6RX/8nf991oEftpV6oPMdGQmz1/b3dgbB6qTpn7k2JBBSFOmcMrucBxwm0BCzTogHrifXwlrMohsmXAbQyXuQZEAGFda9A5cI9NH5vPxspRoE1LCNzU11FeF9C1AFVALAndN9JbEQx4vJSfkM5p7rMDAgBY54SFuZhh3w0adShGglrrdvy7nAz5uiW/8ZyGQUgBPyYkG9XQD91kKQ44ma5U5SC90H0CdoR0diSRbVKSZpLdfMjaPb7gZ+29mJBlF4NHei0fnl88I6+7IblsFB2dehIRkZ0zExRUbBw96enOdSSb6LB7W/vi99KdypdmN24OhIACtsGhpw55IPNDk6km3Y63/lSrLhLe22KInPzEzyz8/eXvTz8ODBsVfVB9Av0eKSCO3L1fbtX/1q8xdvFAO7txdOVIta0mntOywIQ4MK+IT9hQm3Gl5AIr/zI7MB0rC+7KNNx7NhGqOjjdKHp0+lvx4aUqcLe76slMVn9gHLSDxgT5EXACABerWabJ/9sG4dFCoCzAGFuZySE5Zl5//IMtAH+7HmMO5Wqw2gY0BhZ48AqDDqU1NqXTg5qTKNYlHuAbycqb/xB1y8U6x/M9u6c0evHYWL4+PK/KK7t7McOGYQ906aIH/HuaWA0EZ7Y1FnPbS5R3Bc2dhQzT6zq+Wyhr9AEtjjsP3ewoI6mZRKcp5g0CsVJQghtqIID/TeAGZ7D0UBaOv7ftogug+gT9jiitWS9JM9OoreLqPqbrN7tjVzLLl5s3Og0k5/Ri0YyDd72TGizuXE8qzZdy1w5uXU6VavxxedZrPJB/Ds7kYX2i4vJ7vddtrz50Hwla+EWZB0Onl9fr0ug4hTGHD3AfQpNetGYVnmgwO9PsPDzdeBRpY4YQA1L34LJOxy/br0PamUyHiw+8KVgmn7iQkB2M+ehQvVLHgApCJJsxHa2JFZcIH2eGJCfYafPFEglstpkSKyB7S6/kwaAxA/dMXXhwMU19fDlnuwoGjIR0ZU7mBdMABAhYL0YQMDwgIDgAHrAGbLwAI8cRCx5wGm3aYjEgxD8R1Fl35/TtEk12p4OOw4ZAtDh4d1phNtOBIXBkcHB3KtMxl5RwKIrZcy3slDQ+HZ6Nu3hQg4f172BwZ8fV32EVklUg70zFaPTUGoLfJjIMTAwq47mxVAjfY7qs/nHWv/jz7czmwweMjldHCZSkW/m+3gI2ogbE0FfNeZ05YQ9gH0CVscw/DgQbKgaXdXp4Xs0qkiveM0KrKj9Mj37nWONYdxGRmRDg4QHPfA2we1HbDMcuWKuKJ0CzjTSGfy9+/2ba2OT7LFFXJ2O8r78DAIvvzl6H1L+tnZ328MH+BlcszWB9Cn0ABmUS/jIAiCd96RM/eLv9j8WSZghBAQPzW21eDcOXXWwD2Be3RxUcGH76NswQLAE4AI6LFFhn6x5O5uWOJm95t9RrNLOpyf3mdDPNDlWks5v59B+jg3p0Ex9MkcO5+jebZuJzYx0bpREFW9uamgcmhIgZotqsMO0LK+Nuq6WlXJifXO9kEZjUHK8rKA26WlsJY9n1dQDTDnWhUKyhhbWcnQkADTwUH52cZ1Ly+rDzW2dUtL+i4jvrtY1ARBBgPLywKw19aU3FpaCp8DgLr1lmZwg76cVEfWySDBn3W8elX2c2FB7uMbNzSme2pKXWRWV+X+owAzzrKXexLdPPe4P4PkS5a455OQcfQB9Anb7q5eZL+ThI1IotXr0aEMw8O9B6D39nS0+uabuq8k1C0vd441tx3gwYF02FNTmgCVySjQb2ZDFXW9UynpPHqhkDOO+cfBpRNa+SgAff26gMhuNlh5X3aTpMUibXY2+l46QTFnH0CfQgP43LsnL2NfF22TI3/3d+PXY6eHub8yGfWCbgdAf/KJAKmHD/WdcueOkjTZrAamjI6q9RzsK+4NgB/AmQXMftqg9VJeXpaBfzYrYGZjQ37GfSEOkFP8h34YkBo3XU6/gDXe8rJsi2PGgs4OagDZVq5i2ewLF9QezZ5/51SC4RfVoXEGuO7tKeFgLft8azv056xre1v6NN93Gx11sajpezhiEHnOwATQiDQlm1VHEhvXzfV/4w1Z79yc/I7CSe4l2HaAOPcPVnHYG1IsyUyEHSTZ2QPrIQ5YHhpSkI2vfjqtOnZL8OEB7Zx8Zq9RPi/rZD/v3JHzgR921Hv4O9+Ra0LK5Pp6owNHFAPd10D3WJ/N9M3iYmMnSQVwUs3ayViAsrnZGyCOhga5mafj6mr3ZA5Pn2oAQK2mHXw+r8UNqZSM7h89khcKU3GPH8t3Hj7sDKvb7jERZOCfZyyfkj7X9bqGqPhLtwtdq1W5fnYw51zymvx6PRpAj431g1S65QONWxBSAQueL19utH9sZ/0ULo+OajphXByxZdQs2zY0pKADud7SkgJG58SmjvuHJLn19bAdmQ+grcZ3bEz2DR1qrRbWWlOgR8w2yXMWsAKAkVIAqm0Bo6+XhoGemZE+AuePgQEdyKDdtm4huVxYA4zXMdu2EpZKRcEm70Orj6bIEJKhXFaNLwMQf1aCQRL7ZWf4mH1gQAO4X1lR+YwFchSFMugA+F+6pMdVrco6rLRibEyO9/33FaCurMh2kaNlMlq7w33E/UMxJwB/a0vOL1p4Wzw5OanM9vnzOqDgPkG/vrcXJiNItiyVhORLp+UcfPKJemdbizw016RvbmzoPe1ctP55Z0fPI4O6uBkPWqswpZdpfQD9ki3KnmpuLnlP6Cjgzgi0F8AcjZu9XFa2t9Pnq91mC4J8j9WkR7Kn0fb24qe+nEvWIabVPuRyyaf9tWpx7iBJ1i0Egdwzb7wRXXC6tnbs1fUB9DFas5enLSSL0lLiZZ9Oy0ve1/5GvbgBugAJ54SNjis6B2BfuSKDXCzbcC5Ip1V2MDoq2lgkA4DPkREFEwAhLOfYTxs/DchHu4vV2fy8MsuwujYAA8CLVnV0VMAc6XjILdBiW92plY3Y8I6dHXUD4XwitUB7TUEcrKNlQq3ftPW0huW2TDYSk+3tcBGd/a4lVPxZCaQzuGIMDqoVINtm/3M5dbCw27VhK9YxxEpqcG2yMrzFRSV1ikWNfcdWD0CKPCSfl/Nz44YA04sX1UljbEwHO5znc+f0MwYngHQbwAP4Z0A2Pi7vb/TdyHDQsTun8gwrM0HrDrGC7CKVUiAfNdMeRcIcJ230tFsfQL9kiwuqSBqsxPnKUpXci+35c+kwovZ7drY7SUKvSkPnncs1Mv43b3ZOl12tRjPgnZBJtGpx9pNJW9gdHUXXAQwOnqigsw+g22g+6Ilz3WhWoW/ddJwLv6CjdJZBoNIQQBgOA80GtnYB4OLkAOCwsqj5eVk3RW/ForpcWJAJC7y1JWAFjS5RyUgzAEJodG36ITrgSkUHBhMTylwjT8DtgWQ8O/UPYCS6G198W/gHuMSPmT4DVhldL64PvkbZ7u/EhDxb09MycMXyDVkF2mGuzfi4/t4WTAKo2Qe2R/R6LqfgF3Z1eLjRFYP1wkgDENEBcx0IOTk8DCceI3ewbP/urg7QBgdlgbHFjo99GBnRcBqCS/BiHhhQ9n1xUQdNOIjs7KhfNDaAsOLZrFrOcf2RZPAeunMnCD79VME9sxpsk/TD/X3dx1wuvvDfL+KMesbj+oI+gO7BPjsOyCb9Ut7djU6966TX8klatRo/rZnJyOf9drzWzHXj+vXO2ccdHYUrw+39mTTL26oxvQ4DfemSTpUnzYzXatHXplw+0XPaB9BttDhWyv+9rdD3JQc2jj6XC1+rKPaa36+vy9Q3U+XNcgPS6fCAk4JCa1eGnIMZDCK+WbeNR97dlb4ASzVA6vCwstv5vIAlAls4FlLyOCYLTqzfLtpcGGNs6viMwbp157AaW/bTX+jDkG2gzSWpEGaeUCoA9+FheH9tX/j++zqgmJiQdeEyMjSkAJH929zUqG2kMc7JOpBbwAzbwYaVKuKgMTioQS8UJnIvEK4yNibrQdcOQw0Axp0FwGn3j5kA1oNN38GB/v30tPw9YH18XO4xZEY4lsAcc37toIqiTRw+fAkpGm6KJdNp6VvxzWYgyKwDAzDro00CIUWQWBr6z4tfLNiONKMv4ejhPnt3VwHh5z+vndz0tNwISRYTRt1gdL7dTnyLa2jHo6KenZMpJzRW/da6UYUfx3CNjXXuXmgGFJIeULZqUQOMmzdVU5dki3tOT+hK0gfQbbQ41inq9/wOkMjnvuTHDkSbvZSxzkQasLmpyYNvvx3fZ/Pz4qImBWazAmoGBgRM5XIqzygUBLTkco0WabCaODcAjkZG9B1l9d+XLyuI9AeUvuYUcGWZapuQZ504ANDockdHwwV96Iph8wGAyCJghJeWFHSh50UOwjqQrCBlwYt5ZETA2dqaAkfeP8glAIuA0M1NjbuGgY5y7AAQwpKvr4u0gloZ60fNelZX1Rt6aUn3DZ01kppsVoEygSi2IK9a1dS/YlH2jWjrc+f077kf/Jh0riFg1SY7EgiEneH588J+I/9goDc9rYw4kiNfJocVH4OI0VHZ53xezhMhQtmsnufJSZV62HVZXXor5rlVX3AarQ+gX7LV6/ISJgnILtlssuBldzfeJ/HZs+S2exqtGdjqBcB1FlqrIs3h4c75g9fr8Sl/6XR39c9HR/LSipr5WFlJfvunbOvXUQDtnCs45/4359z//eLfqZjvHTnn/uWL5X9td/2ddOFo9iL1Nc14JVtf33feaW9dQaCsrg3naHcBZM/Oyr1TrQqYIAmuVtMZFZ599MsALiQHFEePjckzQIjG6qqAEwrtYFHR8lrXDn4/MaHnyAJZC6z5PX7NT54IqMRRJJ+X7xMfDoiDXYVpJcADlhlPbIrsAFbpdBDcvatabtY1PCzHauO7Dw+V6Z6aUrkERYFjYzqDtrYWbZXGjIUF5Pa4uI9suAx2ruzz7KwOCihopKDThoygJ2ewwHZg3a3MAdkDshoi0AGuXM9qVeVkq6uqi2bd7DMFnKOjalc3MSHnaHtbiujRK3MfIGEZGJD7EYnH6Kic140NHTRwz8JMQwDhTR43S82sD4O2bsg2bOsD6FNqllH95V9WG6Aki+NgH6NutsuXe8cdIqpRsLexoZZPdrl2TQDZCVwKXotGR87UGwv3wuxsZ6+/X5Ftl25HeMcN1q5e7cz9FacLP2FqaacB9D9wzpVe/Fxyzv1PMd/7y5Osv5MAuhlr7H8GQJ2aUi3qwEDr+wVgc3CgMoO1tfbs7OwCoIDJRHLgnCYUIk2woA8WmeK4tTUBkbCHABa0wja+26YXol/mO7C/ADobuw2YuXhRwR3g6NYt1RTncgpqKXaEPS4UdDCAQ4gtgkTKAWvsx2gzgNjeDgNCjhvZBwMj1h8Euv35ednXwUH9W/Ts9t7Y29NjX1oKa86tG0etpmmBfrEfYBftNNd8eFhBL9HeSHLs7MPenp5HllRKrenQTCMzYYaFGQlArnNyvJmMzmRgR0exKtZ/FF0eHSmgT6Xkc+sPnckIOKfIlHuf52huTq77/n7Yk5rP4p6V8+f1HI+Pq9a+1WxSkq1XAXSSxEciffbPfx5mAgnh2Ng4/W3ZVq+LxVrUDTcy0rtSDtt2dnSf0U/x/5s3e3sg0I0GeL54Uf2d/WViorPX3vqi+4A+6eTDVi0u9Ojhw85sP+75PGGhcacB9J865y6/+Pmyc+5PY77X8wC6mazD942F3VtfD4Lvf1+v2UcfNd8Gf0fiG88p09ELC/GF1HZZXVVwBkDO5QS4wNCifUXXbCUV1qbNl3LAtlq7Ows8sMJDX42rB6DXanABdBAiGpUixQAAIABJREFUyB42NwWgXboU9klG5nDhQjhZkW3NziqLbeUPlu0m3poCv1JJfkZ6wLHPzMh54ljxzSYKnMGQDdWBdUX2sbKig6F6XY8TacjOTtgju1DQokg7cCe1j4hq62ldrWrfiS83fswMBhj0+JHtrAcGGMmQLzuBEd/aEjC+vCySpPV1OQYrmcGJBZ9rQC6Fpxz/9LSyy7y7P/pIj8Pq9tNp6Qdv3ZL/VypqQVgoyHeXluS9deVK9DPx3e/qMeO24qcL2nTJ15mBTpL4SKTP3t7WC23ZpsuXk9fzxoGXt97qDXu4Vo1zNzMT/fCkUjJNl6Sm/Cy0oyOtls7no5MS79/XjrOT56pWi2ZZmfbtZovzpe5EMmK9Hh7kMEOwuHjifqHTAPqn5ucB+3/ve4fOuZ845546536jxTq//eK7P3nzzTdPdBJOs/nsM2wsAK9WC5Mjf/mXjesAgOIm8MYbyiBi02YdJtoB0AA9tr20FPY8BlSiLa1W1RUC2RAF5bDhNmgFZtJadCI9sVZngCtrhcd2ADS2YBCgjgeyjdoGzANYbUw30daWVdzd1UI2QJHPLvrgf2tLWVbkG+Pjat0HwF5e1n2jQG5nR4Ao55LgFLYBKGb9xaKCeYAlrD+sO9etXJZ7AeB64YKszwJNChAJj4GBrtX0GnA/waijH2dWgoELA4pSSY7dhrlgPWjPm/X55v1BVL0ddGFpaAsyLYOMt7kNraGAEJYcGQdFiQzILI7x9c+2tivOPafTVrM9DKATIz4SAdB2WiOqM0zyglIEEQVgrJF7rzYYgFYvl0xG9Vy9fDxJtMPDsMNF1MILoRstSud75Ur37704C7lOMeNPn0bHqr+Exv/UAbRz7kfOuT+JWH7dB8zOuf8vZh2/8OLfLzjn/r1z7pfa2blOMNCtXqr+51Fg0r7Yx8Ya1wEI9+3bkE3AeJZKcj9cv978Wc7ltMhqcTE8rQ8jC7hjO0x9W+0wDhWWYee46CusEwmACiBL0RyAGTs5pBw4bMBwog8eGlLAbNcBU0tQCKD24EAZUrtfVlcd55ZiWWq+Yx1B0CADUhmUTE4qgEdegUwGEMl6Ae2Ab/TkJAvi9pHJqDf0xES4MNHq1ZF94IU8PKySCoruGODAqG5uyjHgYkHhoh1IgUHm5gSksk2KFnEX4f7kXFFMWCzKvmDPSLHn5qYOhnZ2ZP0ffCDrA/QPDAgDvbCg4WNbW0pgMNio1eQczc3J73BXIfo87pmw9Ty9ksnQwwD6VImPjpAeR0fhCFi7JGnPZm3MuJnjRm692qj0Lhab6wUfPgwXaHT7AUqy8eLb3Y0PYnBOXsblcvfA88FB9H334x93Z39ozZxqFheTv3e4p997r3H7lcqJV9uTEg7vb/6Jc+6b7ay/EwD6pDZWsHvj4/J8WRD9s5+FvxvlDAAAzOfD7CsOBnHL0JAmuTknYKRSCafTUZCF44XdN+zrAMS+7tcCZF8mYWUKMJaWrYaRBGTCONv4560tLbLzwb69FtYCFjcM64LiD0Z8xpF9ByxbEA9Qt2AadnhnJ8zEr6zofqTTAiA55rU1Oc/M6tGfAM6ttvmXfin4DKBb+QuDgIUFvXbOSZ0PgSeA4ZEReQda5ptrRkLkyko4rhtvZwrw/GTLUilcNGoTE9fXVdJhGeCbN2V/bPw7ANqeL+4FG9/NfXvnjhyHjRQHrI+N6e+HhtRLemsrejZ9cLA3cyK6CaC7RXwk2mfHsdAzM8kCHFiFJ08at10odMau6zQaoIOKXv9YJifl92+/LQ9asfjqWt4xddyqAAk7qm60w8No8Axj0M1mwwj889UJ9pnpZ9+v/caNl5JWdRpA/46npfsHEd+Zcs5lX/z8xovClRvtrL8XGOi4Zr2ej47CWvYLF1pvxw6Afa/jVs+0/zk2bgCWbFZ+Rspx9678fnY2HEcNANrclHsRfSyAE5bR+j/bQBYS+mo11TCjh33yRG3RiBK3emXcLqwm1zpaYH2G5ADgzyDE1/r615CZVxw7rG2elV3Y3+G4gU48mxVHieXlMEONjANGFNYWVw9kM0hD7tzRSHJ00DDiBMxwHRcX9TreuqWsO/0FrhfVqsp4kHusrQlhAdvMPgPiMxn53dCQMLyAY2QX3M/j4zoA4l7KZsPgNZtVVxO8uLe2RO4yMyN969CQDASck+u1uCjR3em0bHtrKwgePJD1I//hmIaHZRt2poBBlz9rh8TDlwPaZ6wbs509zEAnRnwk2mcfHERPGTNyTBrsxQW7ZLPNbV96rdGRj47GW9qwLCyEI7fPaqMzwHv0gw+aH3cqJYx8p1IGo1pUYlQqpZ1vNxtg5a23wvuXtKSKhrbflya9pDd3pwH0OefcH74AxT9yzhVe/P5d59z2i5/fd879K+fcH7/4979td/2dLCIMgvbAdFQl/96eADX7Yv+Lvwj/XZyW2jKolYoWqmWz8UXAUcvoqACUuTmZ3VlZEeYR54jhYVm/ZWrZJ56FbDYMOPG7hmW10/qwhTDp1nMZz+ZUSkCjtYOzMdzLy+qwYQf6lj2emlJnDcJLANq2AA6GH5aZwsS1Ne3/YDc3N2XdaJPpI3k/zs/rwBa3lcXFcMQ0vy8WdV0AYut2AojHfQV2G4kL37cSvIUFkX1Q5GgLLZF4IOFxTr7LLALHf/GiWodms6o/xh6PQjvnNFnRnoPR0XARIb7WuZymCTJIGBiQfUFGZJ+Dhw8FUJOYiG0i9yokxrVrKtWAebZpjqwTQG4XpEs+gGaWaGKiMRW0E62HAXRixEfifXaUbRZ+kUmzcs0KCrNZeVjOivSBThYf1FwuXjuYTmsnctas7+p1OUa0b1GsqV0KBRnld3tKa38/2oLQVvZ3q+FOw33RafY5COT8+OB5cFADFk7YOgqgk146DaDbkXP4lfyADqKu7fW0MwlRDLTV7aIPnphQdvLixdYD5UxGGUVA35e/HHwGjABZAE+bkAiLTjgJhYGWsbPpeAAkwjH4DqwlbDwFbrCjgN3hYZUKEDAC2ATo2vMCQNvclM/R7K6v674jN0FjzjP1/vthK74gUFYawL6yomDUMtCkElI4iMwGBnR5WVl8BlLsi9VTW1s53lcUQyJtWVmR607SHml7BL5wTe/d05TH+XnZL86x3Tf+JfCF99+TJ2GXkqMjvVb2XVGthi0F0YFzHDDB3CvsA04v3AuLixoRb/tYZC/2Hr52TVl3ZlPstYN9j3v3tXLQ6TPQDeA4MeIj8T776Ein1Pzlo4+SZQvr9XgZiXOyX53wRzztxgNUq8X7DbP86q/KlNrjx917sNpt9bp0gu34xNJ5T0119/pxLawPq10+/rh7+8b+bW1Fn9N0ujOuIPW6VppHsSkv0foA+iXacRhoG2MN+7e1FU4T/M53mm/PFvMdHanjAGmrTMU3m2XzNa0zMzrlDtCFIcUlAd9jwI516LDJf3wH6QBuGbgrwKzCCNvCStwxKLijWA+XEJw2rAaagnHrmWz9pInKRi6AdpxrAQNtI6DRzwaBRnlTyGdTDTl2ACHOFH6hpLWHQytsddUTEwIc0S6jd8eOD1s29g83EFh2jpWQnXxeJSDLy+rBzIw11xDZyNiYXHsiwNHULy/LObAzH1wv9PCYHTCbYIs08ZYGyMNkA6a5/xkQzczIucCicWlJY8dhxq9eVVaaRM6BAY2SxwbwyRM5po8/bjRDuHTpVB79RFqvAugkl4702XHFS9zoSYJoa2TvL4yCzxpLS7PFhq2YWl44TLUxrdZNQI0VXbEoHUq5rC/POBD9ta9JJ/nsWZjt6FaDofvud6P3t9spknt70fr5QkEGVZ04d7u7jaCIYIKXtJbsA+gONctEW5brxz8OX1e/oNC27W257kRmI2dgloaCrKGhIHjzzeZ9GZrkclnAhq3/oLgLthVABENpAz9qNQFepZKmGlobPIJbcjl9jwDGSAUk7ARwiqTj3DkBYDDtFngymBgYkH8t8LTAFc3t4qKAXPbT+nRvbsozvrGh+m2umV9syDoJO2EfslkFj8xyYu9m17WyEraFo/9msGB1xVYWkctpEiPSGlucWatp2Eg+r5IR9hU2F8D65IlcD5xLAObcD9i8+oWcMOkQCxaDMJji3KNpp7Avn9d9w20lm9W+7coVfQ+PjYX/3rkw083gztaEMHhkEBBlY/v97yfxdJ9O6wPohNrhYfNq66SLvhh57uzoNLsd2a2tJbv9pBtTj7AzrXTS9iU0MCCdES9Gy26clrzF+sIuLMhy964UVMQBfR9AP3ok16mXvLyRmywtRftQk3zVzVarxQ9GOlVsaW39uDep7n/J2YM+gE6oxdnZAdqsK4S9p2CCo/oNaxnn27KhN56bU31sXIgEy/S03lvDwwp6AVwUn1kvYvyKGVSiM7ZFgjZoZX5evpPNKhNdKqmumYJB2FmYTBIPAerWeo/zBqPJ+Yjqd20dD/07sgskFejRNzfD59N3QWEGAenNyooWRFKAefGiDhRyOQXQ9bpqiNfWVIID+8sCS44sBJs5AC5hIew77D+yHhh4Bg4w8djOWZaadwX+4pOTYZZ+e1skNSsrallnZxBqNZXWIMewBZfnz6t8hMECRYZbW9E1L/RxsMu3b0v/S7+HXImERJxCSD6k2DSuGJ37pRelp30AnWCr1eI7wpfUQbbd9vaivRUfPuy+hvZlG2w0LM6NG81fPna5fFklEXfvqsZwdFRG9KVSEHz6qUxTPX6s6VpUZ+/tCYsP27C1Jf9aT9Px8WgLs1ZLJqNTg73UABFRGnvnZPqt2+x4EMRHd8/NdabYsl6Pth38+ONTeeb6ADqhFhfO4H92eChgwR8AtzMwslHfuHLgkHDvntbKxC2Dg9J3M0AE+NkidQr+6Its4RuyBctA26ATW1iHVA5gNDYWTubz0wet/hYpAzIOWFqAI+fU985G1lIqqUdwqSR97/i4MvdEkbNdwKsdvFt7PgYV1WoYNB4cqGQhm1VpjU0eZN9howkRwTmC9VcqUqBs0wD5PYDVatRtiqC11bNJjez3+LgcI+AWeQuOIIBd0hNTKenvcjkNQLFafMC1LbzzB4mw2aRPIs9YWND70dYkQdDBSA8Py77s74fTG4tFZcexQURH7TsWOaf3Ty9KT/sAOsFWr8fHCA8Pd4apiwPQALVOAfkkG53c4aF0OAsLQfDuu60r3KOqfW1H4L+4+DmblQW3Fb7Pv3NzqgFrZ3nnHfm3WymC7TYbDBF1vnplVgOGzl5HQng60eIGzun0qbwA+gA6oeYHivifWQ1wVBz3j3/c+rlF0oHcAa1ppSJAw4ZrxC0A20xG+qV0Wvo8QDmBFGiDOSZ+rlSU9QRMAuIAqvx/YiIMfGA7bVHd+Hg4VtkmOVoXEsCj71Sxu6vb2NwMJ+tNTEifziDAOocA6ra2tPiwVNJtoaf2ZRaAcKulXl5WUgTJhr0HrENSuayDE4oWWcbGNGKdQQnhJ4BjP7DGstS2EPTSpbBm3jLFhYJKUNgOILtWU6kNASo2dt3XfFsmmvOGlOXwUK77/LziCPsutLVeSNTQRxeLGguP7tk5PTfWeWNpKX4WmYLSPgPdG0tH+2zcAKJujk5oRWFpNzbkoYi6Qefnz64mulk7OBAwm07LtJK9Bq3AdVR6XColoNm3RYsamLT6fG5OOzdeEL3sZ830c1QB50cf9Y7UZH9fZyIuXAg+G9DETbGfdosr4i0URDZ0CvvQB9AJtmZFhgBsGDGiiX0Q3WyddrC/va1gGY9f56JtUO2CdMrKPXB3od+6dy+ciIe3MfplNM74Q1MwaC3frJ6WojffUg5G07Lz1sWDAkc00sg82G801MgTSiUF1zCfpZIOOgBSDJKRPJAKCKhEosKxwmQzALBkwM2bmpOARAE233fYwFUDYEcRJNIZrgGWglzT5WVhpwHDDAKGh2Ufy2UBkXgnc964P4rFsE58a0v14X6MOMCe1MSlJS0AvHxZB1KcS2zgOG+A8e3tsJxmfl6LJzMZcY8ZHpafeQ6WllSOlMnI/3d2dCCWzcoMytKS9NXsC/vqL1jntXo2u9X6ALoDjVGqz2x+8EHnPHx93Z6/3LvXWzfmaTXfTJ+X0/i4POitwC4j5lbf8RmioaHGl+vVq9KJ2Om7XpA8tGq4B8S5n5RK3d5D1Wb/wi+E921gQF5KnZr6q1al0/9rfy18/W/fPrXr3AfQHWhRL2s/sQ8QZPv14eHGdcVZ59XrWmwOeBoeFqA1PBw9Exa1XL4cfDZQLBSkL6doy7fFXFpSjS4F5QBRmOvR0UZN7dpaWJZgB/yQNAAuwK5v/TY5Gd43GGjisOfnteAMezscRFZWwlP5nLe7d1WGwu+QprD+SiV8XFw7W+jPjHC1qnavaJ5tgiO+0BAGVl8NMLdaaBw/APdoiXd3wy49FAVS9E7xnY36Hh1VmQrsLQMDJCho1C9d0vUvLso1QLZTLKpXtx3oIAEplfT+YN3Ly0IAAJ6dUxlRJiP7wn02OBgmqBiUsT/0iysrev/Eye4mJholP70k4+gD6A40mAu8Kf2bpBOFTYxa4zxHU6lk48a73XghUvQCiGX6kCSnq1dbv7imp6WzosOgSJMOpVSS9e7syEvt0091au4stqhwHtivmZneOK69PT3/9voRg9ypQUqcdV0+f2odfx9Ad6BFvaxhIGFguac++SR8rf/8z8PriiuWCwK1kEMTarWuk5MCpqPkIv5y9aoCHdhgAlIAb4SlFAoChm18M+ylcwKSLGO8vq7ey5mMgnurk8V6zabvwZYCznBcwIGDcxMFvrHFs/pjy5oCdHl/Pn2qIIxzwLUDbFLsac/9xIQypgDufF7OByQL4HN9Xdlw3tkAd+uRjV0bsgmkD7mcDhwA3dPT8r3VVe2v2B9bZGet8WDprVwEyY6VgDDbAOsNuz4woCB4fFzPE8m3tkByclL+Dm9o3nPcT/PzWjPknCQr2r4Xz+vxcR0MLCyoExgzm+PjQfDX/3r4nv7kkzDB1Gege2PpSp9dr6veymfy0HF1golu5lBw9apa4bxuzU6t0uHjXVmpCAi+c0ekMDAPfuEMFfG9LMVot/FirFaFwfCLO2Zne2dQEOf7PDgorE0nfJ9p1Wrjc0WRVZ+B7pHOuI0W9bK2rg4WXB8eBsH3vhe+5s+fN64zCpRbGzcb951Kqb/y48fR/bW/DA0JqOG5pMCvWFTbTKK4/bqNUkk1txTtIQGBuQQAZTJqx8gAAGs12GkK1jhf585pgVtc+Iwt2IO9toE2lvzY3ZX1EYQC27u+rgw7fTF1QDYJMQh0e+i+i0XV6dqB8Pq6gkeb6Mc1tTpvW3OUzQowHhmRf5FgYGXonIBbtOfIOUZGwg4Wdj8ZECHf4Fh591hGGRkIsxJcX1sIWCw2up/AdgP20csDmHHSQCvNoJJC+lJJ18+gLZ/XdwhyI+57zoW/VCq9B5j91gfQHWxU/Pr6WphMOzJPqgE2RkbigyZKpVcDBPbbyRtTkXGDrcePu72H2niJ+/taLndWImN9Vu3yktHdfusD6C43H1yjI7XXfGREQDQA2bdY85sF1xZInjsn9087Np1Mr8NEA4Jw+aCgrlkdA0Xv2N7xfaQLQ0Nh6zZY31RK2VC0tJY5hsG8eDH8LMD4Wp0rwIpCRoqq2RZ2dltbar9nY8YBe86p1MLXdiPrm5hQdxF7Hp880fOxualAmP20hAuDBI6VmcfxcQWN5bL+XbksAHNuTu3iYJHLZdWDZ7M628F9wCwFmmaKIikkRD6C7KRe12Nj8LK+LvcG9Tecm/19lepwbpkJYUBB/DYyxUePws4szFiQdjgyEg6XgUQcHFRmHJbc3o/f/KbKeXpJsuG3PoDucKMj8F/2b70lN3QnwKvtpH74w+jOeHHx1WFT++14rVnBIEun/JTbaXH6ua2tzu7H3l40mzI7e6ogvg+gu9yi/KJ3d6U4yl73VEpmrmzqX7N1+P+nj8bFoFVaKRZ4Fmw/eiTAJZeT2bOlpbA9HfIzFsAohbCAuZkZDWPBNaRQkPeVZWtLpXAgiA3ywFnD1oBY/2pbcAg4JLCFYka+C8O9tSUAb3lZACAzh+wTQBN3CtIC0Q4jg9jZUZmJdRqhGNESXDa0xgbCwLwjfUHuwblmIGUJtPV1dRFh4OOcAE0GDqwbTTJOTbaOhp+RdhAu8/Sp2q0yIGEw5RcJ4loyNCTng1AUgDeDMSQmzql38/q6SnkGBlQiNDamOnDnZCBCJD0Dgqg6pImJ8Pnt1dYH0F1oe3vNwUknk9yYmopbsAXq5Zu4306n8RKvVmUwd/t2tP4y6STNdve1VhNWLErXn8l0NtDl8DDeuvCUiyz7ALrLzaa30WAJ/QHU1FR0+qk/9R/nO820PDrYduwx02nVLBMRnc0q8EHmsbur76Hr1wXQoGfd2JDn/MKFIHj/fV03RYAWiAOsCFthH4j6hoHGnYLfEWl9757a4cHEIh2gGI/zAOtr0yHHxuRv8ebO5VTeQREhoSZWi5vPK9De3NSobbstWNlKRbdrj5E0RgCtDcrBLu7998NSB64h7kDnzilTu7+vjC6N9VobOOvdbAdefBe5CLMazHAweFhaUgkOwP3Ro3Afj7uI9QofH9cBwOBgY9Ii+u65OU3F5P5ghoL7htyFDz8M37+/+ZsK9rv9nmnV+gC6Cy2OhWZ5883O2coxsowKfoDN4IF4Fa3u+k0b+rw4f+xUqnfkPfbl7y9DQ50tHIyzrnNOLPVOWSfeB9BdbLCBFkADWohc9kH07/5u/HqIwfanqQ8Pw0lzFNrt7wuLd+lS9P1ml0JBAMrt22EnjtlZBXw7O8J2PnumxYIAJKQST55I/7+6qsEezqlzh021m5pS1pqwEdj0iQmNGScN0OqU7UABPfOTJ3IeCoVon2RYVJt1sLysEgS008gKxsZUgoCOeHxci+BGRlTbC5DnWiMPGR3VJD36IIrxGFyRcmiL1ZHl4M9MqAvHzDbYni3QhDXm/Fn5kA0+sVIgC65tIev6etgWkHOJvOLGDR1YzMyotd65czLQKBblcxylrHzFejvjBT05GS44pGDSDyNiuXCht2UbtvUBdJdavR7vfeic3KCdbEdH8SCA5f79zu5Tv3WuUU3eTGu5vNw7MxHINvzpv6tXOx9Es7sbnaCVAPscBMfvs7ve4TZbeqIzPkaLSiskHAXJQrUaBH//74fvg//yXxrXZWUaPgvNOldWwmxipRJ2UGgFou2CfzRgDJCKxAI9sE3Ow6uYv0FeYb2Kcd9AAkDUdbmsQBIdMuEuMJ/MElmPbdblnII6pCEAPxvUwjkkKRbWn2I/tmWPiQEPbiPVqhx/sSjfpQhudTVcoHjunHwnl5NBxcSESlpgqEn6s04lHFulor7M6NQpJATM4sfNfiNRIYHQ9m8A4osXFYC3cq6wf8Nne3uapEuR6Ze/rH3sxoZcUzsDgjaea0zqIkEz3KPr6/r/bFYlNuPjjWRNOh1+tnq99QF0F1uzF++773ae6dvdDTMV/nLzZu+m5PXbyRr6zTj7tVRKi2x6wXGDZq3DUimpIWBfO81exGmwZ2cTOWd9AN3FFqd/tjZs29tqGWaXn/40ep1RoDwKGNVqCkTS6dax33HPMzOfMIBzc2rbtrYW9nfmOJjKR6KA7hbQWippcAnMsj0HSFUsm2uZVvymkZaQtAezTPwztmjWIg9Gm3NkQ0NsoAg+0KwfSUehEE5pRAM+MKDhKzDUaJYZiCA/QTfNAMPKTQDPOITYgT8phfacIJ0hoZAYbls0SB/nS4F89tmywz4T7RfCkhqI1ObhQ9U4z8zoIGppSc4HhYH4UVv3EcA0TiGrq5qcySArCvucNRewPoDuYkPKMTwsiw9eO601rdelQ8xk4m/wTk+P91tyjfuvmR7fOelUe+V6E7X73nuN+zk8HJ7e7ERrNpNUqSSyyT6A7qEW5Z5xdKQpqP49EWVvZwvQoizukCMw9T4/r2CyGeERtfge6YODCnyz2fBgmeAQfO0ZLMAcAyRJMYQlRTMMIPOTDS34RR8NE3zpkkZRV6sK2ms1tVMDeD99qvsA6w2rTAGdlRRQfAgQtamEgE/2qVxWXffOjhZiVqtq7Tk3J0CXdXBuYJCRpFgPa1h4wkw2N1Wagy/31FR4ZgCwiyuL/R0A3bqL8C/HagdiHDsDDuK6t7bkWJEfce8ODKgk59Yt3T+uK0w7g6jZWfk/vtPMkuRyasEXF1526VIY5PfKO6dZ6wPoLjc6lahYWFgCRtyduKHstCLTZ1EsxtKSPPx9RvrsNZijxcXmko1sVjr6XtA8B4HcZ3Tsk5ON+1sqdf5e3N3VoiT7fJAYlkDrA+geanEyDACMP7gaHo4H0VGgARC7vq5+84AmrL8ymfZTC30gTeLdw4eaZGcZZ/TBgFas3wC2ExM6hQ/IHxjQUA+/77ADDmQqsJh4A1smP+48AyYpWoNVxzvYgk6YUT6zftIANgvsYYxXVnTAQn9INLolufz1AFLZriXCfAaY47BuJDiJ+LZ7ljW2Wmtfj082wfq6XAc7UGDf5+a0+JI+1Q7G7t8XkiKbVfcW9o/ZBs6hZe7xvuZ4sMXDqxq/6xs3Gu9JZgiiBpO92voAukfa3l78lBwVzZ10FQgCeQiXl6PZPvtCuHevX2B4FhodcZzkgJexc9Jh9pL7ChrtKPbi/n05pm4A/c3N6PO4spLYuesD6B5rOHDYYkDrNRylVf6v/zV+fRZMU7iGc4VlHre2BNyUSpqkaovpWi3ptAB8m4zHkssJC5vNyoKGuFjU4jsruWC/AG4w0NYtA7aT40Cmwj5jVwdzu78fza4GQRjIA9otUMWTGE06+mcLPv2I6N1dZcHtQGVnR84B7h6wtUgXxsd1P/f2pE/I5RR02ghx/xojJykW1caW+wV/bKtXpnEMFPdZrTU6cTTtfHZ0JOeDgRKFkP5cbtzwAAAgAElEQVSg6o03wvfCyIhaNDKggu23BaC+9eGXvyyDRVu0yIxBlIECAzXu9V559zRrfQDdI40He2MjvsNbWuoOSDg8jK+YZZmbOxs3/Ova8HYeHw+CBw/ir+P0tIYP9ELjufA9du2LvpNJg/5+fetbjaAEi6iEWh9A91BrVghomc2f/7xx8Pef/3O0ptoycKzDuk6Q0ofsYWBAit4ymSD48Y/Fki7u+UauBYBBOpjJSAEun+GwYZlWq99l28gqrGQCCQUOE0zdj401xmwfHSnQJN0OSzt+v7bWmG4IO16pKGi3z9zhoRA7MNnY6NVqGt5SrSqzu7enx2slazC6NuHPyko2NzX2Gt9jBiM4lCDjsImKFCTC4F64IINuW0SJ/tmPP+c+Yd/RpbN/7C8676MjdXW5cEH9rkkxxN/bap5nZ4Pg7l25XwYHlUSbnpZzl82Gdd/nzsk2792TdQHGOSa2XS7LOvz7cmhIZ9p7ibhp1foAusdava5pUFFLtwIsmhU8sszO9pnoXmywt82u3e3bMgja3+/23oYbDFwc2O+WhMhODbPw4k94pqijANo59zedc//aOVd3zr3b5Htzzrk/dc79W+dcqd3193Rn3EaLiueO+uzoKOyzy/L7vx/++6iCwiBoTL4DqMJQWhuxfD5eZ+ovgGZ/wXmhVJIp+XJZFogUwCFFgwDcUkmZ0+1tZTrzeZU6rawoEcTzPTSkfdSdO+oBzfpxqrBBKxMT6rlsdc8MQpwTQAdgBRzj8LG2poWGuF/YmV6KKK2c5OlT2R8KCEncs0AQP2wKB6emwkV+7MvIiMpG1tdVTw2g391V28DDw3iZD2w8MhocRixwtxIRCgsJjWHgUqupLIhzb+Udg4NCvpB0yKDFzjIUCrLeXE6kL8+fK4vP76PuNz9m/ay0XgXQSfbbPd9nx4WbjIxIhHKzSNikmu/W8Oab0fs4NSXBFk+enA0j9Fe9tWNP2AvBKH6zU5xR+s5uDtYsa2aXDz5Qm64EW6cB9HXn3FvOuU/jOmLnXNo592fOuS8454acc3/snLvRzvp7vTNuVdAUxSBbVtO6TAwMRNcc/P7vN7cdC4JGoG4LFu3PgKlSqXVyIUvUABUds42jJhiFAj+YyFJJA0AAyUzvw0AXiwLAl5bCPr/ocilss0DPWurxM2AatpXPmfbnHNVqarPme0HDzKIpf/JEtbs24W9rS2UgDNQPD+UYOLdogp0TwEhxInKQc+d0gIEkZHNTZB3FYqOPspWY4BKCXAJttj+44vtIXxg85fOyf5ubsp7BQbkGNs6b+xF/aTT7JFR+/LEUDz54IN8ZHVXw7O8LOQJLS2HtdaGg95CffOmcpHVy/5611sMAOrF+u9f77ODwUB7KK1eiO7b79+Uh2dnp/L7ZIoU46zO7ELxxVqpqX4VGJ1yrqZ9p3LK42JsdFwljq6vRz0GnY7pp1trLLryIhocTl5R0RcLRoiO+45z7A/P/NefcWjvr7fXOuBnD3Oz7FsxBPgAOo57Jn/60PaBOXxqVMmc119WqPDuplAAnW/jWbOF7+bwAL+skMjurns6W5Mlkwj6/aHmROgACbTIhILVale9ubmpqINIMAJi1nYNxtq4XfA8px8GBMtS4XMCUsn4Ychsgks2G7fYKBfn+yorKThgI5fNybvCchvWtVlVCYd0qAMiFguyXBdeAaBueQmALAxI8uJFEWFs6zgVe3vRDvJ+t8wXhNlNTOgjgeNhfvJw5RhjosTFNbGTwYeU4lrFfW1N2nXvl8uXG++3b3z7b2KBXATRLEv12r/fZn7X9fRn9xXV2Fy7Ig9qtm+/oKAg++qh5h8yDTEzsWR1p9nqr19Ve6fZtGfFb5jaVarRK7FXmuZUvdbecQbB59Jk9XgxE8yb8PPYigP6mc27b/H/JOffDJuv6tnPuJ865n7z55puJnajTaMe11IpyTLBFaltb0g9GMdHDw62BOuDOyhX8okMLNoljBii1A6KdEz2sdWG6cUO1vuhZ0c8CzHBsYHvDw8qk5nLyf2zhVlZk/9ALDw8LaARcwtYWCo0yFQYPfL68HE5IhL0eG1MNMUw47hiVigLGjQ3pLxcXlckFBK+syDqRnXANYcAB71tbGhd++XLYKs9qn0sl2S87uABA+wmEDCgqFd0nZCEAVxvRzbt2dFQBvXPyu+FhOb58XuPaR0YkyISkQRIPi0XVqyM7GhlpPM6ouG0bJX50JN9ZXIyXf1Yqxxug9lo74wC67X77LPXZoXZ0FE7/8Zd8vrs339GRVmc/eNDcFo3FL4jot5M3Xp61WnvnHnaoV+U1UbZwdikWu3fv7O1Fe2bbWNwOtFMH0M65Hznn/iRi+XXznVMD0HY5M2zGSzTfnxfJxPe+1/jM/ot/0fz+9h0korZFURrSAzyUV1fbl3X4UeF2FoiUuufPlemFqVxeDoLz5wV8o8vF5WNkRH7HIB55AQ4XADfrxoHNHo4fMMkAWOQTyEmGhsK6bCubgEUnJTGfV/nI8rIASRvCsr0tjhTvv6/Hii82RYWwsJVKdGGiLYizchU/TIYZNxtk489++IMznFhwBeE8MMjwj53iPTyZYaWpfcEHGhmH9XeuVOQ7a2vqlkFxqHU3sZ7a29taJxIl3fid3zn7s9PdBNDd6rfPXJ/NqM4WcTgn6WsbG3LDd5OJptXrsh/FYmMHzPLFL0pHVy5HV6732/FatRquoI9jbZ3Tl0ovn+9mFnsJeiu3bBT3Dg422k0ODHTUCaQXGehXVsJh20kDHuzfMcOyvS3Prm8f51wQ/LN/1npdzYAHIBqm2hZ5TU2JBLBdJjruOXROU/jW1mS98/PS76+syLYpsjt3TgbFlvkkrW5rS4Hc1pbuN3IL5wR0rq0pwKRQDr2tc8qWA+SREGDftrkp3xkdVWBYKOj+IBtBCgL4hpVdXpbvE2tu5Sg2AZFshChHFvYZqUexqNKVrS3ZD1tMx7W21n+2ISdh3y2wt0x6taoD/7k5tSK0YSlvvKFJg2jOl5flOHM52W/YeGQpsMr8f2oqLI/Z3xfyb3AwCL7ylcb7qFt9+Wm2M85Av9oSjqhmAYZlL9LpzqewNWvNnERYMhmNj6W6vFf2v1cbGnS8TfHcjFsGB3VKrdcHK/v78RZcMCvd2P96Xc51nLPB4mJH96sXAfSgc+7fOeeumWKUm+2s9yx1xsfVQ9u/i4pTZjr8ww8b76mvfrW5I06rfbE+wX68M1KClwHRN27IjOPwsCbo4X1s9dYANp4TbN4IX8Gr+N49dWxg+p+/w6saMM13JiZkmyMjmoC4s6P9Hecc72HLerMUi6rPtqmBFA+urirTOj+vxfFWQ802cA6x4NoG6yC/sIAWthw3jJERIcVsgSjANQ5Yo7HmGiMNQb4CQ01aI44oIyMCgu0grlwOS1j4bGlJzzGzAMhncEPhZ/Trze6xXK4PoDuxJNFvn6U+u6Ht7sZHL4+OatFEt6fnYc2ZlsMeJ44dfecdAXuPH/eBtG2WcapWNTDB6hmZJvOng+/f742ZiWbN2nNZf1COKZeTDrmb4H9vL5opdE5qFDrsmd1RAO2c+xvOuf/gnHvunPtzGAvn3Oecc//cfO+ec+7fOKnq/u1213+WOuOTMtDYlFH85cdGx4XxTE3Fg+h23UGipARPnwrgyeelz2hH+uUvvqb1l35J/gUM28/u3g0+I3nQOsPGIp9IpTT5r1RSlwgANBZr9AXPnsmzh70dAwbYa1w00FCXy0I2AGJJzaOvQVdMgdzKStjLmO8uL4dnEtBWw44jQSmV1L6O7wO4l5dl3XNzAsiRSCC1sT7SMODZrEolonzCYbE55okJeV+sr6sn9PCwymUA2D6WWF6W/cYzm2O0YT6w+hA59nhh4fP55gXsY2Pd8e8/7darADrJfvss9dkNjRGm1bLZalo6w27EGsft7/Z2GIBExXiyZLMyncTLpdsDgW41a+DPNGmrIiCKBLFH6oXr36oBHqIkKB0qymvZqtVw8aW9j7tgpdcVBjqp5Ux3xi0aIBabMkAaRWXc1zgaRdW6pFJB8Fd/1XobzYB0FOBCQ4zXMNP5UY43zZb33tNB/dycvJueP9dADn8hsGNzU0CtTRw8OJD3Fs/a0pK8D9BSl8tqFUdx/Ze/rEytnWm7eFH+noAO2FAiypGdlEryN4Dm8+d1sFMsimRyZ0e2DVtLAScuGrC6tZqeWxvnbTXC/D6TUceOgQE5Rt555bKA3NFRZdhJUoQdhwW3ftPIOXDSqFR00La1JaAVjTPHzLXj2pTLCvBtuuHUlLqR+ME+VipkdelRumfnNLK92/36abReBdBJLme+z8YNAMD8W7/VeJMyYu2Fxmidh/PZs0aWwi5Xr+ro9e5dmdJaWJAOkWm+VxFY25cb05cffKAOGs1eZIDNs9Ix4RrS7IU9MdHdAlnu26go+0xGzncXWh9An5GGzALAHKdbJn6ZqfYox4Kf/lS+6wPmVlIO5CMUuUZ9H1IG/+jx8eMD6XRaiiKzWfEOhtQpFPR5gQDg33Rafqao/OhItcwzMyKfoG8bH1dyKJ1WEE1xIUwo8g9kD87J5/Snc3PKStuYcOzXrE0cf4P1G2wtBdgQHPhQw6ju7QngBJxubYXvBcAu2wcM4zuNLnt1VfXNAODJSdUcI5VZXpb34tKS/O3EhLwvJidVu81gwDll3G2sNsRLoaB6Z2SV3D82EObSJY1JtzaBOKNEEQ4sZzEwJa71AfQZbbbqNU5rtLCgI9deA1VHRwKo3377eB31zZvS+ayuSmfba8l57TYLlvf2pAO8c0c6znamVAHUi4u9Fb3dTiNWNs7aCCulbt+3tVq07nlgQAawXdq3PoA+I61dyYc/21SpBMH3v9943/3H/xjvzHAcBtr/vgVJgMf9felf7azXcWzwogC2BVWs6+ZNddrgPTY4KL+bnFQ3D9tXpNPy+caGOGQAfAGl6I2Xl1U/TU2OlZBY/fL582qHB3tLgSK/x8EIOzsL2G3xYbWqxYZ2nXzXWuGhY8Y3enlZpSu4XcDyEmACyCXZb2JCCSkrnZidbTx3zukM8PKyHKMNp7Hssr1fKJKkTwbQj4zofuOyUqmobMcus7MasPOqtD6AfgXa4aGO3KNe+KOjveuzSLFINtte/OzAQFi+cuOGaH1nZwVUV6u9VzBH0c7Dh+qDWixqPOrISLTJvP8CymQ0FpeK8bPWGR0eauHjW29FH2cXwWnkfvpLPt9V/V4fQL+izdqaEUXtL9/6lvRxce4bUWDa/73vCgIRA7ijSM/GQuNfPDNzfNLDB27Oxftg08cNDWn9zMiI9J2zs9LXZ7PSb/K+mJ9X8IodG4mHsL2lkvog25CXiQkFgPhQQ07kcgLMDw7UY7pSkXNXqagfMq4XDADm5rQokWJH58JabeLH2b+VFXlPk9oYZ4lnUxIJlaFYcH5efkctSTotxwWAjkoPHhtTrfXBQZjUsdvlGJGvcFxjY2G/cBv/7S+9ZHJwWq0PoF+RxlTQ177WeONOT6ttXC/ewHTi1ap0fBZIMwV4nGVwUI3jp6clKrRSUd1dsShg23pbPnlyfCbXMkdM5W1sqNRkY0N0YP50aDsMs61kz2TUHqnXBgftNiwObaFgLhc+RqZKu31s9Xo4/twWwC4tdf056gPoM97aAbqHh2oj5vcX2WwQ/Oxnjett1yXEAnX7N1bKAJMLcALw7e4KARBVszA1Fd+fRbHXFy+Kk8ft2zrrtLysUonFRa3riJIEzMyoPR6Azz63KysaMY7/MmEqAEfY70JBrdtwp4BxhQEmttzKLFjP+Li8U2zsub9PFEASLoOUhL+fmwtb7Nm+kP4T8A8jjhUg1nhra8p+Oyfr5Z3qF0IPDMhn2OeRjmjt+Sj0RPISNbAiJvzhw3jdM+/yXiXyTtr6APoVapa1iDLMT6dlFB/HYPRCs1XFTCneutU6kvqki/XVdk79QwGrAGMKXp49kw4RT1POq/+Si3NtaLUQssD6Ac69er1aNa7nxkbz456b642BAdGzUfKSwcGeqCvoA+gz3toBujhljIxIH/CNbzTejz/4QXgGymeW46QdFkBDAqCPpiANbbB1srAAqlJRsAlYi5Nk+eA/Clhfv97IUGezrYNf0mlZAKX+tqxEATmFLfBzTjXIhKmMjan9XrmsDPXYmGxnbk5AarGo9n0s+CbD6OLSkcvJNuhfbGiKjQefn5dtVirhmOynT3V/MxnVZ1OsOT8v++5LAK1F4ocfhj/7+teV7b9zR1IHNzdl4DI5qe9gZCRouLe35bhZrMd03HWCfe92/37arQ+gX6F2dCSga3RUAGec3V0qJaPlXgdm9iWAGf7iouqrmO5r1WlbNtdfrl8PsyP370vnwTShD4wty3IS+6eo5f59eQm8954A9LMozYhq6C/jZhEKBSk8yuXkxdbtfd3b08IlFkBBOi0vth54XvoA+oy3dhhoqzNFK/vgQeMzNDkZBD//eeM2moF0ux3rUe0XOdrPsN6zGln2Dy/oJ0/k3+Hh1pK0dpZMJv4d5i83b8Z/N5tVdtcCW2Yj0TzDyFpJQjarvs5WF+2ckC/EZOfz8t5dW5P31OSkgttMRr5Tq4WTKJFWHh6GCx2dE9YczTSE0iefaF9aKul+8v66dk36K/tesrNnzBrYIk7n1NHEOWX6c7mw08bhoZ4niia3ttThBBlm1PmvVHqi30yk9QH0K9YALVjdfPxx8Nlo02cIMpmzeXP70olyWYD1wkLz6t92l+np1sxHux277bBSKdm/+/elQ3/8WDunV8X72r6cnzyRY45jprLZRkuvbrW9PXnZcN193/LR0Z7xLe0D6Fe0+aAXphg7sb29+Gfpxz8OP0PtstF+kaH/mSUwKHwDaB8daUw30/7WsYFnKZuVgekHH+j+tttPP3ig/ee770qSrf2c4KVMJp7QGBoKnzfAtJWGIOegJmVmRiQJ1JswKwkLbBcGEMWiRqiz3sFBtYXj/OGUwXqx3UM7PTcnx7K+rhZyPrO8uiqzerxT2inwxPXEOQH4/P7735d1WLchiiWt9SGzDRQzUgzpXHjQYZe/+3e737cn2foA+hVstuNjeujLX45/sL72Nekwnj3rDTBz0obt2CefyKj6Bz+QjuDRI+3QWgFjljjJSCoVH1NuwTLfJdkJo/xXcRqLxv12/rycv3PnojvxBw96T0pUrcbfG8PDvaHNftH6APoVbVHFfszgAFaazbh9/vPSh/utlWSkWZGhXQdBJXY9FuTjKHFwoIBqaEgHAADQmzcVDI6MyH5zDBcvho/J11r7x59Oi+42jtDAAs/X5lr/48FB6af9FFQcMdAdb27qdjIZZZ9xKxkfF+a4UFDQXiyq1Ru65UJBA07QlaOTnpkR4mFuTs4N6Y5jY43vMP9ctJqNpTbI/z3F0kNDqgk/PAxrromBxy1lakrTE5HRRG0T1r1H+s5Tb30A/Yo3UrDOnw9P1UQt+Xw4cvZVaXTeaN0AtA8fSofy4IF0jNmsdISkMG1saHpWJiOd2Pa2FAjOzQlQn54WgI5meWdH/q1WX22w7De8yXO5aAsj5+Qlhvayl9rRUfw+Z7M9BZ6D4Ph9dtc73GbLa9UZn6DhdrC2Js8OMgGCPaLu2f/0n8LriALEzVjpOK9o6wQRlXJowXShoEV3yNGsdaeVQgwNKSAF6MUVo92+3QgC6aMBcchHBgbCBXV2WVzU7VpHD0t+5PMKmCkYJA6bonSS/ZaWBASfP6/AemFBixFhqJ2T9/Abb8h1JDGwVNJ9sOw1A/iFhfBxfOMbrSWElvHn/T4/r+u9e1f269w53TbBMtvb4TRYChSRp5CeaAvB/YWC93YKW89q6wPo16DRWTaz5mK5cUPN2l8FHW6zxnnhReC7XNgO/6y6XyTZGJhUKmF9ZlQ1/rVrUhHfi2wEHrH+Mjzck4PJPoB+jdrengAwG2JB37S7K4N8fIN9UPkXf6HrOU4ASytvaf6WwjJfckJfidey3Qa66kpFAOXCgpAOe3vCXFPIt7qqM31WWkCsd6kkz+f0tBx/NqtR1cPDOvvFv5bJvnRJJVqAbv71WWj2gaJCa11n5RzIKO7da1z3tWv6HdY/OxuOMh8YEFDPflomvl2Jhr9MT8s+Dg7q/junCY+4qzAYQGJy7pzcb0tLArJHR3Vwk8uplerMTDyIn5qK9x1/lVofQL9mjdjYqIIU52REzMNaLAp7fZZCOvqtM43p5TgGIpVSy7pbt4SZ6SUWAv1mqdTI1LCUSj3Z8fcB9GvULPMbdy9Wq/HT9+fOieXdcQNY7Pbj2GvLREclLUb9LTOiBLb43sLnzmkoCjN/OzsCmldWRGNM+Al/u7Wl1nO5nLLGeOen041s/cyMDD585wike7YIcmBA1ru5qcWWftrg9LSwuxcvqkMJDDcF6RZUF4uyDjTkQ0P6WZT0LWqJk00MDmoBI7aAAH+SDQsFdQPB/9rOJOBPPTIifz8+Ht7HZsurFNXdqvUB9GvabJV3M/9OHkL0ba86K91vrRvgOaqgxi7FYm8WSdbrjZZX/rK01LP3eh9A91uowUY3u6e/+EUpWo4qKjyunOMk32EbFMytrAjwtx7T/ItcwMrgYK5XVuR9RZogM4QTE6pX3txU1pTfWckIIJD0PquHXlgQ8Pj4sYZ23b8vnxGOgsUf2QWsxzn5HGkGbO3goIDQxUUF0gsL0jf69p6w1c5FzyzELamUbIvjBSCTcMjPdja1VlMfaxtFHgRaNGrXhTVrK611D87aJdb6APo1bhjnM/X0ySfRUzKplGpES6XXZ3TZb9p4YezsCNMSFznOy2l+vndnLvb24pnzkRH1we3R1gfQr3mLYqXxcKafbmYd+emnYcAbp3mOYpWjmvWSjmtsw7KbNqwFWzSOK2p/treFgV5Z0RS/S5dUs1upaPogLGs+r4V7a2vhwJELF+S9h9/20JCA78uX5XNY28PDMIDc2pJ9QrJirdzIBsjlFJgjwZidld8PDamO23pfH3dBSnHzphQeAoxh8u3gg3NqZTe1mhwTiYf+NSZIxdrYcZzNiIcoR5dXtfUB9GvebOdHh2BHwVHL8PDroZF+nZsNtNnYEG1eq6CEfF61dL14b9hI9Tjt3tpazw8O+wD6NW++IwYM9Pq66m83N4UQsXZldhkdDYI/+qN4m7t2Uw1bfdfWkfhx4fQRvqwjqkiRvwP42u9bj2oLfJF3+Kl+dpsXLqj21xZIHh7q760v98SEOkvUasqEnzunLDgFgwMDwjyTsMgAHXbdpiYeZ6FwsVKJ1pnHSWf82UAcura3o68reADNeS4nbPbmZvR+9eJsY9KtD6D77bPGQzU+3l7RAlZkfUb61WsULzXzu7ZerqurvX0fHB4Gwfvvh/cfEE2hzepqbwJ/r/UB9GvefAYaQA1QBIQCrB8+jO/P46zvjlP81YyB9sF+FNhGngGjbJlx/ha9ND9bZtyy5VtbGtftJy3ac2dDQqKkLABmLAQB1djRjY8LkARQA+5HR+Wzcln9ry9cEABKXkE2K4TEd7/b/P06NqbOH0hSNjfDdqjtXqeo895q5oB14/XsnFyjf/yPG/f1449b3yevYusD6H4LNavtKpVU/9UMRBGTWqv1LoDqt9aNqUoSulpp3fB6XV7ufeCJPjQuYn1kpPfs9WJaH0D3W6jFFRoCmoiu/kf/qPnz/A//Yet02uOy1f6+tWJH/e9aBrpVMaUF4ta1xJerMNjwtbp+8mKhIAAZ2QP/IkEplZShZZuEpOCsgezBOQmCaZdlnpmRfeGYj0tOHEfn3qrt7qpbyF/9VeO+/tqv9a5cL+nWB9D91rTBYlDV22zJZOQh67PSZ6fB2jx61BhaEDd9yDTkwUHvF5bycn70KPp4qDTvMa/nZq0PoPutrQZoQmOMl3Qr/2DnGr2kac300icFeHadxylI9LdnmWgYZj/p1FpvWnkGMhP7dywHBwKQDw5kXfyf99zWljp1zM6qlV4qJS4fH33U+nw7J97Oi4uy3nYGDM3acSQ4rRoz04VCdILk7u7Lb+Ostj6A7re22s6OWgK10xmk09J5PH/e+yDrdW31urIjrZYHD8RD/KwF7VQq8cc0OKgM01k5nuD4fXbXO9xmS78zTr4BgNAMAxTHx1s/98PD4Zjw44DlVu4e9CVRcow4cOwD7rjttNq2LyuxrLTPeG9tCRimyBHNM4V6BKpYO8w47blzch2QdxSL8vcWzMcd53HayzDOUW1np/E45uYa3Ttet9YH0P3WVrOj9IcP5QH60pdad8BUGd+9GwRvvy2dxus63dPtZjVvR0cCntsZEGWz2sGflQKRel2YHD8YwS5n1FGmowDaOfc3nXP/2jlXd8692+R7/94596+cc//yODvY74w706Km9HHVWVoKgr/zd1r3A84Fwd/7e+1L9XwAaPsfQH27jg12Xf6xtAKa/veZdaPY2ddFW1CN17T1nsb6bXNTA12cC4Kvfz3+vKVSkqJYLjcvtGt2nN1q+/uNri5/62+9fgWDUa0PoPvt2I2OcH9fOpDvfS9e4hEF0ObmtON63R/ATrX9fb1G774bTveKWq5ckYESyV9n6RrV68I8x01Vp9PhiOEz1joNoK87595yzn3aBoB+47jr73fG3W3WXm57O75GIG554w2RR0Vpp/3+fXtbnklcH45jldfsXdGKtY7TQVNo6H8f9nlnRyzznj0TaeLoqBBC+ENzDqIKNBm4f/CB9KHtyhq7/U70r8n+fmOwy2/8Rvg6vs6tVwF0ksRHv88+5cZ0XKnUCFriXBx+67eC4M03pSP65JOwZVC/Hb/5FeQ7OzJQ2dmRTvBzn2vvhXj9ujBSBwfdPqLjNwZ2hCBEHd/IyJmTbPitKxKOPoA+m60ZIIOJxdXBWszt74fDR46zTE1JsVkU8xsl58MurZkUoN2iuCgJhK+DxsJuauV3bV4AABK+SURBVEodNup13b9qVfoJakJaFVM7J9avU1PqyewHj52mJjnJxn5ub8vx+ATY3/7b/VA123oYQCdGfPT77FNudtRarUohRLHYvl6aJZeTDo2OrA+o22+7uzK1WC5rHC3LpUutz30qJdftLMtrymU5lmYJXj0az32c1qsA+v9xzv1fzrn/0zn37XbX2++Mk23NgBuM8Pp69HfqdQHXy8vCNC8sHL9P95dvflMG9fguI5+wkd6+FjhK7mFBt/0ujhG+5IzBQrUq7yYSeD/3OTkH774rpE4z0ge2eWAgCL76Vfm7Dz+U2a5WcoZuM8vtNvYzym3j13+9/072W68CaJY+gD6jrV4XjRgdbju+0s6Jfc/qqnx/bExHur75/uvcjo7k3C4uCmi0pvztVNjb5dYtCUo5yx0jL+HZ2fjjHByUF+crcP+cOoB2zv3IOfcnEcuvm++06oh/4cW/F5xzf+yc+2+afPfbzrmfOOd+8uabbyZ9vl7r1qzADiYR8BcVYLK3p8V++AHPz0sf3Q4ze5LFBjalUlJrk0oJ4P3Sl4Lga1/Tgr3RUQH/zgXBO+/o4HlgIAh+9VeD4FvfkpnOd945/n6kUuH+dGBAZG2QPKdRTNlrrV4Pgh/9qPFc/PIvyzvndUoZbKe9AgC6LeKj32d3ocEIMPIvlzXqs50ObGpKOmkbMf6DHwhYBDgi/ThOh3aWGmCZohWitO15YpDSrPLbfnd+XmQO6+tnl3G2L6VaLZo1Sqfl/mEg9orcGz3JQHvf/R+ccw/a+W6fzeh8i2Ol7fS9dZmwz1k+L4yrBdlER6+uBsGv/Ep7fXsvLt/5jso2SHRcWpJ3TKUijj1TU5py2Mw1pJ3z3Wvt+fNoY4C33pLBw/j4K9WPnkrrJoDuNPHB0u+zu9yePxetWFQ0NB1XFEB0LtqHMpuVjm58XKbUrl4V0H0W2EbLBpXLwqzcvi06Out4ctwFQPnuu9Lh7+y8Wjrzp0+D4Px50XnHFbBms/LiO4NOG81azwFo51zeOTdmft51zs21s95+Z9z51o6PMsSH7UNJJy0UGn2g8QnGLm9lRRNtV1dP1oclubz1lvStFFMj7UIKVyyKpLBUEsIHrTi68PHx4/lWv4ync9KtXhdCxSchstkg+M3fFFa/VHp13h2n2c46A+19ty3io99n90CjU6nVVC8Ns3xaneSdOwJEKxWRKRSL8vP+vrCvSblL0BFbyyZAcqUi+1Euq155YEDt/uySzx/veCcm5N8rV4LgZz8Lgnv35FhftXZwIPKVK1cazwEzFTMzZ889pM3WUQDtnPsbzrn/4Jx77pz7c+fcH7z4/eecc//8xc9feMFe/LGTyu/fbnf9/c64N1uUnVqzcA9fx2xBeKUin83OCpi+f1/6wKkpGdjfvSvPLUTJBx8IUP3ww/i+zspHLl+W2bevfEV/PzAQBF/8on5nelrA8vCwzMDt78t+1mqqmaa4cHxc9ndlRQbpy8vKPBcK0i8TvNSuPKMXWWisPr/xjcbz+41v6IDJOTkvr2Bf+tLtLAPokxIf/T67x1pUscfmpnSyQ0P6EPuAKYqt9oFU1MJ60mnp1D/9VDrJx49lpF0uy7/7+/oCoFL94EA+g7345BP5P4Uk1ap00HTkd+7Id4aGogHfyy43b8p+r6wEwc9/Lv+eRQeNdtvRkTD0cedjdlZedGdVmtJG6woDndTS74x7sx030CMOSOLQtL4u4JPwEgD31paA06X/v72zjZGqusP486y7LOFlKwsVrKLWxFhevhR3Z1ZqGlMFN4ivbZNqFNQaS5omra8sEDUpHxpo9IO2xZWtb4mxphasCCgqGBMQFnxBFKUosamG+tImtsbELuvph3OPc3fm3pl7d/e+7MzzSyZ7Z+bOneecnfmf5/7nf8+52ppgf3mE/2Jy/9RyS5bY2Oxf6MR9/5csseNCW5sdQyZMsCfbbiGUlStLC8r4l+125pm0Gnp6Kk1ze7uN8/668SjT6vkz0GGlhmnUSftnQRkYsL/eBcXQzk77vEsErVyp2ucw8mqgk0x8KGaPEVxQGRiwxvCEE4IztUnd/HMlNzVZE1wshu9fLA69WDKo1rt8Tk2gdOHLKacEH7e11S5C439swQI7MNSzWfYzOGgHr7CgD9gBrgH6QwZapMpIShDKs9du9g1nJN2sGVOnli5UDFvdLmze6MFBa3QnTy4lOnbtstt9fTYmOCPuX/2wfOGU6dNLv0y2tdlf9Jxe99fNKe3qxMtrgoNmDPGfgPhnCfETdJIyGqba32crVthosHx5Zdlba6sdhyZOrNQ2li6CTJu8Gugkb4rZYxC/mV6xwk7e39Njl5ieMMGWQsRdBCCLW0vLUBMdtJzuWWfZ2TEmT7YZlZ07Sz+J9vZW1ibWM+7/Xm1Jbnfx5Lp1WatNBRlokTqjVYJQfhy/OXdZ6ba2UolE0Gv7+sLNpjPX7lgu4+3fp3wuaX9pijPWU6YEXzDnXuOMsKsH9y/a4jLuLkb737evzyZZ1q+vPa/1SPrc9ev69XYcmT3b1nQDlVMRNjXZUkf3S2r52CIDHY4MtBjTlAdBt4CIK61Yt84aa5dN9tfONTdXLvVcPt2emy6p2i3qrCL+s313tXd7e6n2e906u+1+Pmv0oDUwYMth2tuDf3loarL/w5deaqgpDmWgRepEiUcj2ccZPlc3HVQy4Mxt+bR7QabTb8qj1if7l/OuNdtEeVY+6BhBxt1flhJmjoMy7dXKQsoz4M44T5oUfKG+M9FXXmlLZ1ypCmmz7mGzs6iEoxIZaFHX+C/gc9PpuWnhdu60951pnjXL1hPff3/pauuensrMdrFojVt3tz1We7sNSDffbA3wrbfa18yZY6fdKxbtcV1dt8so5/nK7Cxx/7OrrgoO/u5EqLe3IftPBlrkkqhGq1a2tVo9dfmS3EEXOsZNPJRnj4czVZtfc/l2uaE2Zmg9cnl7Xd24X0dQ26dOtWPP0qWlWZZ6e20ZRltbcKZ54cLSGOTX6sbHKEuyixIy0KKhCTuT92c7du2yprq3t3LVqaDXK+AMj4GB0gnIxInhF122tNgBotrSv3WMDLTIJSOZkWI42Wv//bCVCZPQH4cgM+wed30QVNYSlsX2L36za1dpTQBnlt00r11dpXjZ2WmTPZMmVS9pEfGRgRZC5AK3mmK1W1NTXc7tHIe4MbsZQqQACRSLtfcrFICNG+3fOK8t3yfsNf39wGWX2feIoieOhjCMse9bKNjjOAoF4MknKx/v7ARWrwYGB+3jGzbYx/bsATo67D4bNtjX+Y/9wAPADTeUjrN7N9DSAjQ32/0A4IorgE2bgHHjgHnzgCNHgHvusc8fPGjfJ6yfwtohhBAiZxhjB42vvgJmzAje57jjgPPPB559FrjtNuD66xXcYyADLXLFSIxqGMUisHlzyZSXG/SRUstYhpn2sLbu3QssXw4cO2bN7+bN9rFLLwUuuAB45BFg/Xrg7LNtfHTHvvZa+/pZs4DFi4Fly4ALL7TG+MgRoLfXPjZzJnDvvcDhw8CaNVZDfz9w++3A3Ln2fqFgTbpLT5DDP/kQQgiREoODwKpVwGuvATt2WAM9OFi538KFwJ132mD+0EN2AJF5jgWNS03lkI6ODrNv376sZQhRFb+JDTKWcTO3LnHgjGuhYO9v2gQ8+CBw3XU2Q93UVLlvsWjvd3fb5MLatcBNN9nn7roLmDPHal292prlQsGa885O+9evsbxdykDHg+QrxpiOrHWkiWK2EBlgDPDyy3aQeOEFG8yrMX48sH27zcKIr4kbs5WBFmKEBJWd+ImbVSeBrq6SYe3vBy66yN5fu9YaaGdgSXtbvBgYGADuvtsmEp55xj7vMsiANc/F4tCykWrm37XLlY8UCso8CyFE7ujvBxYsAL74Ivj5QgE480xg/nybWZk71w4yYkQoAy3qlvKM6VjLoDpzu2FD6bFisVK7Mbb++cYbbc3zli1D65b37Bn6Wn8/ALX7pFaGXQSjDLQQInFckD92DLjlllLAd3R3A08/bY2zqErcmN2UpBghssTV7Pb3B9/PKy4ednaWTGtXl70FmVzSZqW3bRta6+2eK3+tvx9cdrzaCUWtDLsQQoiM6O8HLr8cOHQIOHDAPtbkWbtx44A77pB5TggZaFG3lBu/sWIEncHdu7e2uXUEGeUw4vZDFJMthBAiA1xAnz0baG0Frr4aaGuzf3fsUKlGgqgGWtQtUae2yxtJG/2x0g9CCCFq4AK6McDWrcFXhItEkIEWImfI4AohhIiFf+DQAJIKKuEQQgghhBAiBjLQQgghhBBCxEAGWgghhBBCiBjIQAshhBBCCBEDGWghhBBCCCFiIAMthBBCCCFEDGSghRBCCCGEiAGNMVlrCIXkJwD+nsChpwH4NIHjjhUauf1qe+OSdvtPNcZ8M8X3y5yymJ3Hz5s0RSePuqQpOnnUlXdNsWJ2rg10UpDcZ4zpyFpHVjRy+9X2xmw7oPanTR77W5qik0dd0hSdPOqqN00q4RBCCCGEECIGMtBCCCGEEELEoFEN9P1ZC8iYRm6/2t64NHr70yaP/S1N0cmjLmmKTh511ZWmhqyBFkIIIYQQYrg0agZaCCGEEEKIYSEDLYQQQgghRAwa1kCT/C3Jd0i+QXIjyeOz1pQWJH9M8i2SX5HM1ZQySUGym+Qhku+S7MlaT5qQfIDkxyTfzFpL2pCcSXIHyYPeZ/6XWWuqV6LG1DS/i1FjHcn3SR4g+TrJfTnRlGrMItlO8jmSh72/U0L2G/T66XWSTyWkpWrbSbaSfNx7fg/J05LQEVPTNSQ/8fXN9SloqhrbabnH0/wGyXk50HQuyc98/XRHCppqjgPD6itjTEPeACwE0OxtrwGwJmtNKbZ9FoAzAbwIoCNrPSm09zgA7wE4HcA4APsBzM5aV4rt/z6AeQDezFpLBm0/EcA8b3sygL810v8+5b6uGVPT/i5GjXUA3gcwLaV+qqkpi5gFYC2AHm+7J2xMBPB5wjpqth3AzwHc523/BMDjOdB0DYDfpfEZ8r1n1dgOYBGArQAIoAvAnhxoOhfA0yn3U81xYDh91bAZaGPMNmPMMe/ubgAnZ6knTYwxbxtjDmWtI0UKAN41xhwxxvwPwJ8AXJKxptQwxrwE4N9Z68gCY8xRY8yr3vZ/AbwN4KRsVdUnEWNqqt/FPMa6iJqyiFmXAHjY234YwKUJv18YUdru1/oEgPNIMmNNqRMhtl8C4BFj2Q3geJInZqwpdSKOA7H7qmENdBnXwZ55iPrkJAD/8N3/ADJRDYf3M+93AezJVklDEBZT8/pdNAC2kXyF5A1Zi0E2/TTdGHPU2/4ngOkh+40nuY/kbpJJmOwobf96H++k7TMAUxPQEkcTAPzQ+/n/CZIzE9QTlbx+384muZ/kVpJz0nzjKuNA7L5qHk1heYPk8wBmBDy1yhjzV2+fVQCOAXg0TW1JE6XtQjQKJCcB+AuAXxlj/pO1nrFKHmPqKMW6c4wxH5I8AcBzJN/xMmlZahp1quny3zHGGJJhc9ye6vXV6QC2kzxgjHlvtLWOQTYBeMwY8yXJn8FmyH+QsaY88irsZ+hzkosAPAngjDTeeLTHgbo20MaY86s9T/IaAIsBnGe8Iph6oVbbG4wPAfizASd7j4kGgGQLbNB81BizIWs9Y5lRiKmj/l0cjVhnjPnQ+/sxyY2wP9kP20CPgqZEYlY1XSQ/InmiMeao99P1xyHHcH11hOSLsNm80TTQUdru9vmAZDOAbwD41yhqiK3JGON//z7YmvKsyd3Y5zeuxpgtJP9Acpox5tMk3zfCOBC7rxq2hINkN4DbAFxsjPkiaz0iUfYCOIPkt0mOg73oJJGrx0W+8Ooi/wjgbWPM3VnrqWcixtTcfRdJTiQ52W3DXgyZ9Yw1WfTTUwCWettLAVRkyklOIdnqbU8D8D0AB0dZR5S2+7X+CMD2hJNgNTWV1cteDFtnmzVPAVjizTDRBeAzX5lOJpCc4erVSRZgfWiSJz9Rx4H4fZXmlZB5ugF4F7be5XXvdl/WmlJs+2Ww9T1fAvgIwLNZa0qhzYtgr7x9D/Zn1Mw1pdj2xwAcBTDg/d9/mrWmFNt+Dmx96xu+7/qirHXV4y0spgL4FoAtvv1S+y6GxTq/JtiZFfZ7t7fyoCntfvLebyqAFwAcBvA8gHbv8Q4Afd72fAAHvL46kFQsCWo7gF/DnpwBwHgAf/Y+c/0ATk+hf2pp+o33+dkPYAeA76SgqSK2A1gGYJn3PAH83tN8ACnMuhVB0y98/bQbwPwUNAWOAyPtKy3lLYQQQgghRAwatoRDCCGEEEKI4SADLYQQQgghRAxkoIUQQgghhIiBDLQQQgghhBAxkIEWQgghhBAiBjLQQgghhBBCxEAGWgghhBBCiBj8HyT8Ybcldhi9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plt.subplot(121)\n",
    "plt.scatter(new_x[:,1], new_x[:,2], s=0.3, c='blue')\n",
    "#plt.scatter(boh[:,0], boh[:,1], s=0.3, c='black')\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.scatter(X[:,0], X[:,1], s=0.3, c='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def cnf_density(model):\n",
    "    with torch.no_grad():\n",
    "        npts = 200\n",
    "        side = np.linspace(-2., 2., npts)\n",
    "        xx, yy = np.meshgrid(side, side)\n",
    "        memory= 100\n",
    "\n",
    "        x = np.hstack([xx.reshape(-1, 1), yy.reshape(-1, 1)])\n",
    "        x = torch.from_numpy(x).type(torch.float32).to(device)\n",
    "\n",
    "        z, delta_logp = [], []\n",
    "        inds = torch.arange(0, x.shape[0]).to(torch.int64)\n",
    "        for ii in torch.split(inds, int(memory**2)):\n",
    "            z_full = model(x[ii]).cpu().detach()\n",
    "            z_, delta_logp_ = z_full[:, 1:], z_full[:, 0]\n",
    "            z.append(z_)\n",
    "            delta_logp.append(delta_logp_)\n",
    "\n",
    "        z = torch.cat(z, 0)\n",
    "        delta_logp = torch.cat(delta_logp, 0)\n",
    "\n",
    "        logpz = prior.log_prob(z.cuda()).cpu() # logp(z)\n",
    "        logpx = logpz - delta_logp\n",
    "        px = np.exp(logpx.cpu().numpy()).reshape(npts, npts)\n",
    "        plt.imshow(px, cmap='inferno', vmax=px.mean());\n",
    "a = cnf_density(model)       "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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